fix: Use rsync --delete to clear removed files in target repos

GitHub Actions workflow now syncs files with rsync --delete flag:
- Copies new/modified files from build to target repo
- Removes files that were deleted from source
- Replaces manual rm and cp with atomic rsync operation

Fixes issue where deleted files persisted in target repositories,
creating stale code illusion. Now all 9 target repos stay in sync.

Co-Authored-By: Claude Haiku 4.5 <noreply@anthropic.com>

Author: claude

.github/workflows/publish.yml

@@ -66,8 +66,8 @@ jobs:
 
           git reset --hard HEAD 2>/dev/null || true
           git clean -fdx
-          rm -rf dist/
-          cp -r "$BUILD_DIR"/. .
+
+          rsync -av --delete "$BUILD_DIR"/ .
 
           git add -A
           if ! git diff-index --quiet HEAD --; then