chore: add bun formatting workflows

.github/workflows/format-check.yml

@@ -0,0 +1,29 @@
+name: Format Check
+
+on:
+  pull_request:
+  push:
+    branches:
+      - main
+
+permissions:
+  contents: read
+
+jobs:
+  prettier:
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Check out repository
+        uses: actions/checkout@v6
+
+      - name: Set up Bun
+        uses: oven-sh/setup-bun@v2.2.0
+        with:
+          bun-version: 1.3.11
+
+      - name: Install dependencies
+        run: bun install --frozen-lockfile
+
+      - name: Verify formatting
+        run: bun run format:check

.github/workflows/format-fix.yml

@@ -0,0 +1,48 @@
+name: Format Fix
+
+on:
+  workflow_dispatch:
+
+permissions:
+  contents: write
+
+jobs:
+  prettier:
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Check out repository
+        uses: actions/checkout@v6
+
+      - name: Ensure the selected ref is a branch
+        shell: bash
+        run: |
+          if [[ "${GITHUB_REF_TYPE}" != "branch" ]]; then
+            echo "Format Fix must be run against a branch ref."
+            exit 1
+          fi
+
+      - name: Set up Bun
+        uses: oven-sh/setup-bun@v2.2.0
+        with:
+          bun-version: 1.3.11
+
+      - name: Install dependencies
+        run: bun install --frozen-lockfile
+
+      - name: Apply formatting
+        run: bun run format
+
+      - name: Commit formatting changes
+        shell: bash
+        run: |
+          if git diff --quiet; then
+            echo "No formatting changes to commit."
+            exit 0
+          fi
+
+          git config user.name "github-actions[bot]"
+          git config user.email "41898282+github-actions[bot]@users.noreply.github.com"
+          git add .
+          git commit -m "chore: apply formatting"
+          git push