Include src/built/ in client tsconfig for browser-context typecheck

apps-runtime.ts imports from backend/client and runs in the browser,
so it belongs in the DOM compilation context alongside the client code.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: sdkennedy2

packages/plugins/apps/tsconfig.client.json

@@ -9,6 +9,6 @@
         "noEmit": false
     },
     "files": [],
-    "include": ["src/backend/client/**/*"],
+    "include": ["src/backend/client/**/*", "src/built/**/*"],
     "exclude": ["dist", "node_modules"]
 }

packages/plugins/apps/tsconfig.json

@@ -6,6 +6,6 @@
         "outDir": "./dist"
     },
     "include": ["**/*"],
-    "exclude": ["dist", "node_modules", "src/backend/client"],
+    "exclude": ["dist", "node_modules", "src/backend/client", "src/built"],
     "references": [{ "path": "./tsconfig.client.json" }]
 }