chore(deps): migrate from npm to bun for package management

- Update CI workflow to use Bun for installation and build
- Replace all npm scripts with bun equivalents in package.json
- Update version to 4.0.2
- Add react-native-worklets-core dependency to react-native template
- Add bun.lock file for dependency management

Author: involvex

.github/workflows/ci-release.yml

@@ -22,11 +22,16 @@ jobs:
           node-version: '22'
           cache: 'npm'
 
+      - name: Setup Bun
+        uses: oven-sh/setup-bun@v2
+        with:
+          bun-version: 'latest'
+
       - name: Install dependencies
-        run: npm install
+        run: bun install
 
       - name: Build project
-        run: npm run build
+        run: bun run build
 
       - name: Upload build artifact
         uses: actions/upload-artifact@v4
@@ -48,9 +53,9 @@ jobs:
           cache: 'npm'
 
       - name: Install dependencies
-        run: npm install
+        run: bun install
 
-      - run: npm test
+      - run: bun run test
 
   publish:
     runs-on: ubuntu-latest
@@ -72,7 +77,7 @@ jobs:
           registry-url: 'https://registry.npmjs.org/'
 
       - name: Install dependencies
-        run: npm install
+        run: bun install
 
       - name: Download build artifact
         uses: actions/download-artifact@v4