build(deps): bump third-party/build-deps from fce763b to 9d09f31 (#5324)

* build(deps): bump third-party/build-deps from `fce763b` to `9d09f31`

Bumps [third-party/build-deps](https://github.com/LizardByte/build-deps) from `fce763b` to `9d09f31`.
- [Release notes](https://github.com/LizardByte/build-deps/releases)
- [Commits](LizardByte/build-deps@fce763b...9d09f31)

---
updated-dependencies:
- dependency-name: third-party/build-deps
  dependency-version: 9d09f3123532beeddcbe42f96a476d2cb261f471
  dependency-type: direct:production
...

Signed-off-by: dependabot[bot] <support@github.com>

* chore(deps): Update ffmpeg module URLs and checksums for Flatpak

Bump ffmpeg prebuilt archive references to build-deps release v2026.621.21936 and update the SHA256 checksums for the x86_64 and aarch64 packages. Destination filenames and architecture selections remain unchanged.

---------

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
Co-authored-by: ReenigneArcher <42013603+ReenigneArcher@users.noreply.github.com>

Author: dependabot[bot]

packaging/linux/flatpak/modules/ffmpeg.json

@@ -8,8 +8,8 @@
   "sources": [
     {
       "type": "file",
-      "url": "https://github.com/LizardByte/build-deps/releases/download/v2026.516.30821/Linux-x86_64-ffmpeg.tar.gz",
-      "sha256": "c32319fcc2867befe8ff3ae26b4d3a58378c3a9c1bfef9029c9969321c3bc6ec",
+      "url": "https://github.com/LizardByte/build-deps/releases/download/v2026.621.21936/Linux-x86_64-ffmpeg.tar.gz",
+      "sha256": "62c08f5c9ef2b4e9adeb0d88b11da6c980170b76fae74fe67a4804b88e96c257",
       "dest-filename": "ffmpeg.tar.gz",
       "only-arches": [
         "x86_64"
@@ -23,8 +23,8 @@
     },
     {
       "type": "file",
-      "url": "https://github.com/LizardByte/build-deps/releases/download/v2026.516.30821/Linux-aarch64-ffmpeg.tar.gz",
-      "sha256": "10b6c9440ba6178ec3b944f6c6f697253497cad5196d23a2d32d335daae0062e",
+      "url": "https://github.com/LizardByte/build-deps/releases/download/v2026.621.21936/Linux-aarch64-ffmpeg.tar.gz",
+      "sha256": "6baae9b03f378ccd2dc7a48f9b39f3eaeeba865e3acd274e5a2d4f8662a74fa8",
       "dest-filename": "ffmpeg.tar.gz",
       "only-arches": [
         "aarch64"