diff --git a/package-lock.json b/package-lock.json
index 941b0c0..fc4fc80 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -23,7 +23,7 @@
         "husky": "^9.1.5",
         "lightningcss": "^1.21.8",
         "lint-staged": "^15.0.0",
-        "markdownlint-cli2": "^0.14.0",
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         "markdownlint-config-fluid": "^0.1.5",
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@@ -804,9 +804,9 @@
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-      "resolved": "https://registry.npmjs.org/@sindresorhus/merge-streams/-/merge-streams-2.3.0.tgz",
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+      "version": "4.0.0",
+      "resolved": "https://registry.npmjs.org/@sindresorhus/merge-streams/-/merge-streams-4.0.0.tgz",
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       "dev": true,
       "license": "MIT",
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@@ -876,6 +876,16 @@
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+      "resolved": "https://registry.npmjs.org/@types/debug/-/debug-4.1.13.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
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+      }
+    },
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       "resolved": "https://registry.npmjs.org/@types/eslint/-/eslint-9.6.1.tgz",
@@ -901,6 +911,13 @@
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       "license": "MIT"
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+    "node_modules/@types/katex": {
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+      "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.8.tgz",
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+      "dev": true,
+      "license": "MIT"
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       "resolved": "https://registry.npmjs.org/@types/minimist/-/minimist-1.2.5.tgz",
@@ -908,6 +925,13 @@
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       "license": "MIT"
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+      "resolved": "https://registry.npmjs.org/@types/ms/-/ms-2.1.0.tgz",
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+      "dev": true,
+      "license": "MIT"
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       "resolved": "https://registry.npmjs.org/@types/node/-/node-25.6.0.tgz",
@@ -932,6 +956,13 @@
       "dev": true,
       "license": "MIT"
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+    "node_modules/@types/unist": {
+      "version": "2.0.11",
+      "resolved": "https://registry.npmjs.org/@types/unist/-/unist-2.0.11.tgz",
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+      "dev": true,
+      "license": "MIT"
+    },
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@@ -1324,6 +1355,39 @@
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+    "node_modules/character-entities": {
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+      "resolved": "https://registry.npmjs.org/character-entities/-/character-entities-2.0.2.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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+    "node_modules/character-entities-legacy": {
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+      "resolved": "https://registry.npmjs.org/character-entities-legacy/-/character-entities-legacy-3.0.0.tgz",
+      "integrity": "sha512-RpPp0asT/6ufRm//AJVwpViZbGM/MkjQFxJccQRHmISF/22NBtsHqAWmL+/pmkPWoIUJdWyeVleTl1wydHATVQ==",
+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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+    "node_modules/character-reference-invalid": {
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+      "resolved": "https://registry.npmjs.org/character-reference-invalid/-/character-reference-invalid-2.0.1.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
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@@ -1711,6 +1775,20 @@
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+      "version": "1.3.0",
+      "resolved": "https://registry.npmjs.org/decode-named-character-reference/-/decode-named-character-reference-1.3.0.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "character-entities": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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       "resolved": "https://registry.npmjs.org/deep-is/-/deep-is-0.1.4.tgz",
@@ -1736,6 +1814,16 @@
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+    "node_modules/dequal": {
+      "version": "2.0.3",
+      "resolved": "https://registry.npmjs.org/dequal/-/dequal-2.0.3.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">=6"
+      }
+    },
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       "resolved": "https://registry.npmjs.org/detect-libc/-/detect-libc-2.1.2.tgz",
@@ -1746,6 +1834,20 @@
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+      "version": "1.1.0",
+      "resolved": "https://registry.npmjs.org/devlop/-/devlop-1.1.0.tgz",
+      "integrity": "sha512-RWmIqhcFf1lRYBvNmr7qTNuyCt/7/ns2jbpp1+PalgE/rDQcBT0fioSMUpJ93irlUhC5hrg4cYqe6U+0ImW0rA==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "dequal": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
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@@ -2956,21 +3058,44 @@
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+      "resolved": "https://registry.npmjs.org/globby/-/globby-16.2.2.tgz",
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-        "@sindresorhus/merge-streams": "^2.1.0",
-        "fast-glob": "^3.3.2",
-        "ignore": "^5.2.4",
-        "path-type": "^5.0.0",
+        "@sindresorhus/merge-streams": "^4.0.0",
+        "fast-glob": "^3.3.3",
+        "ignore": "^7.0.5",
+        "is-path-inside": "^4.0.0",
         "slash": "^5.1.0",
-        "unicorn-magic": "^0.1.0"
+        "unicorn-magic": "^0.4.0"
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-        "node": ">=18"
+        "node": ">=20"
+      },
+      "funding": {
+        "url": "https://github.com/sponsors/sindresorhus"
+      }
+    },
+    "node_modules/globby/node_modules/ignore": {
+      "version": "7.0.6",
+      "resolved": "https://registry.npmjs.org/ignore/-/ignore-7.0.6.tgz",
+      "integrity": "sha512-BAg6QkE8W+TuQLrrw0Ugr7HegXduRuuj8/ti2kSOc+jz1dmx8/WNcjr6XGnq5YpDWxFwwaavqD0+jIUOKelTsw==",
+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">= 4"
+      }
+    },
+    "node_modules/globby/node_modules/is-path-inside": {
+      "version": "4.0.0",
+      "resolved": "https://registry.npmjs.org/is-path-inside/-/is-path-inside-4.0.0.tgz",
+      "integrity": "sha512-lJJV/5dYS+RcL8uQdBDW9c9uWFLLBNRyFhnAKXw5tVqLlKZ4RMGZKv+YQ/IA3OhD+RpbJa1LLFM1FQPGyIXvOA==",
+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">=12"
       },
       "funding": {
         "url": "https://github.com/sponsors/sindresorhus"
@@ -2989,6 +3114,19 @@
         "url": "https://github.com/sponsors/sindresorhus"
       }
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+    "node_modules/globby/node_modules/unicorn-magic": {
+      "version": "0.4.0",
+      "resolved": "https://registry.npmjs.org/unicorn-magic/-/unicorn-magic-0.4.0.tgz",
+      "integrity": "sha512-wH590V9VNgYH9g3lH9wWjTrUoKsjLF6sGLjhR4sH1LWpLmCOH0Zf7PukhDA8BiS7KHe4oPNkcTHqYkj7SOGUOw==",
+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">=20"
+      },
+      "funding": {
+        "url": "https://github.com/sponsors/sindresorhus"
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@@ -3435,6 +3573,17 @@
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+    "node_modules/is-hexadecimal": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-hexadecimal/-/is-hexadecimal-2.0.1.tgz",
+      "integrity": "sha512-DgZQp241c8oO6cA1SbTEWiXeoxV42vlcJxgH+B3hi1AiqqKruZR3ZGF8In3fj4+/y/7rHvlOZLZtgJ/4ttYGZg==",
+      "dev": true,
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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       "resolved": "https://registry.npmjs.org/is-json/-/is-json-2.0.1.tgz",
@@ -3630,6 +3779,16 @@
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       "license": "MIT"
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+      "version": "5.0.1",
+      "resolved": "https://registry.npmjs.org/jsonpointer/-/jsonpointer-5.0.1.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "engines": {
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       "resolved": "https://registry.npmjs.org/JSONStream/-/JSONStream-1.3.5.tgz",
@@ -3656,6 +3815,33 @@
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+    "node_modules/katex": {
+      "version": "0.16.47",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
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+      "dev": true,
+      "funding": [
+        "https://opencollective.com/katex",
+        "https://github.com/sponsors/katex"
+      ],
+      "license": "MIT",
+      "dependencies": {
+        "commander": "^8.3.0"
+      },
+      "bin": {
+        "katex": "cli.js"
+      }
+    },
+    "node_modules/katex/node_modules/commander": {
+      "version": "8.3.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-8.3.0.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "engines": {
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@@ -3987,9 +4173,9 @@
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@@ -4319,9 +4505,9 @@
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@@ -4335,8 +4521,8 @@
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-        "entities": "^4.4.0",
-        "linkify-it": "^5.0.1",
+        "entities": "^4.5.0",
+        "linkify-it": "^5.0.2",
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@@ -4358,50 +4544,60 @@
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       "license": "MIT",
       "dependencies": {
-        "markdown-it": "14.1.0",
-        "markdownlint-micromark": "0.1.10"
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+        "micromark-extension-directive": "4.0.0",
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       "dev": true,
       "license": "MIT",
       "dependencies": {
-        "globby": "14.0.2",
-        "js-yaml": "4.1.0",
+        "globby": "16.2.2",
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-        "markdownlint": "0.35.0",
-        "markdownlint-cli2-formatter-default": "0.0.5",
-        "micromatch": "4.0.8"
+        "jsonpointer": "5.0.1",
+        "markdown-it": "14.3.0",
+        "markdownlint": "0.41.1",
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+        "micromatch": "4.0.8",
+        "smol-toml": "1.7.0"
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       "bin": {
-        "markdownlint-cli2": "markdownlint-cli2.js"
+        "markdownlint-cli2": "markdownlint-cli2-bin.mjs"
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       "engines": {
-        "node": ">=18"
+        "node": ">=22"
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       "funding": {
         "url": "https://github.com/sponsors/DavidAnson"
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@@ -4412,16 +4608,26 @@
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+    "node_modules/micromark-util-subtokenize": {
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+      "dev": true,
+      "funding": [
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+          "url": "https://github.com/sponsors/unifiedjs"
+        },
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+          "url": "https://opencollective.com/unified"
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+    "node_modules/micromark-util-symbol": {
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+      "dev": true,
+      "funding": [
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+          "url": "https://github.com/sponsors/unifiedjs"
+        },
+        {
+          "type": "OpenCollective",
+          "url": "https://opencollective.com/unified"
+        }
+      ],
+      "license": "MIT"
+    },
+    "node_modules/micromark-util-types": {
+      "version": "2.0.2",
+      "resolved": "https://registry.npmjs.org/micromark-util-types/-/micromark-util-types-2.0.2.tgz",
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+      "dev": true,
+      "funding": [
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+          "url": "https://github.com/sponsors/unifiedjs"
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+          "url": "https://opencollective.com/unified"
+        }
+      ],
+      "license": "MIT"
+    },
     "node_modules/micromatch": {
       "version": "4.0.8",
       "resolved": "https://registry.npmjs.org/micromatch/-/micromatch-4.0.8.tgz",
@@ -5113,6 +5857,26 @@
         "node": ">=6"
       }
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+    "node_modules/parse-entities": {
+      "version": "4.0.2",
+      "resolved": "https://registry.npmjs.org/parse-entities/-/parse-entities-4.0.2.tgz",
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+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "@types/unist": "^2.0.0",
+        "character-entities-legacy": "^3.0.0",
+        "character-reference-invalid": "^2.0.0",
+        "decode-named-character-reference": "^1.0.0",
+        "is-alphanumerical": "^2.0.0",
+        "is-decimal": "^2.0.0",
+        "is-hexadecimal": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
     "node_modules/parse-imports": {
       "version": "2.2.1",
       "resolved": "https://registry.npmjs.org/parse-imports/-/parse-imports-2.2.1.tgz",
@@ -5213,19 +5977,6 @@
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       }
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-      "resolved": "https://registry.npmjs.org/path-type/-/path-type-5.0.0.tgz",
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-      "dev": true,
-      "license": "MIT",
-      "engines": {
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-      },
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-      }
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     "node_modules/picocolors": {
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@@ -6081,6 +6832,19 @@
         "node": ">=8.0.0"
       }
     },
+    "node_modules/smol-toml": {
+      "version": "1.7.0",
+      "resolved": "https://registry.npmjs.org/smol-toml/-/smol-toml-1.7.0.tgz",
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+      "dev": true,
+      "license": "BSD-3-Clause",
+      "engines": {
+        "node": ">= 18"
+      },
+      "funding": {
+        "url": "https://github.com/sponsors/cyyynthia"
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     "node_modules/source-map-js": {
       "version": "1.2.1",
       "resolved": "https://registry.npmjs.org/source-map-js/-/source-map-js-1.2.1.tgz",
diff --git a/package.json b/package.json
index 5f16f35..e397d1f 100644
--- a/package.json
+++ b/package.json
@@ -40,7 +40,7 @@
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     "lightningcss": "^1.21.8",
     "lint-staged": "^15.0.0",
-    "markdownlint-cli2": "^0.14.0",
+    "markdownlint-cli2": "^0.23.0",
     "markdownlint-config-fluid": "^0.1.5",
     "npm-run-all2": "^7.0.0",
     "progress": "^2.0.3",