Use bun publish in CI workflow

Co-authored-by: Ona <no-reply@ona.com>

.github/workflows/publish.yml

@@ -7,9 +7,6 @@ on:
 jobs:
   publish:
     runs-on: ubuntu-latest
-    permissions:
-      contents: read
-      id-token: write
     steps:
       - uses: actions/checkout@v4
 
@@ -21,11 +18,6 @@ jobs:
 
       - run: bun test
 
-      - uses: actions/setup-node@v4
-        with:
-          node-version: 22
-          registry-url: https://registry.npmjs.org
-
-      - run: npm publish --provenance --access public
+      - run: bun publish --access public
         env:
-          NODE_AUTH_TOKEN: ${{ secrets.NPM_TOKEN }}
+          NPM_CONFIG_TOKEN: ${{ secrets.NPM_TOKEN }}