ci: add PR check workflow

.github/workflows/pr-check.yml

@@ -0,0 +1,53 @@
+name: PR Checks (bun run check)
+
+on:
+  pull_request:
+    types: [opened, synchronize, reopened, ready_for_review]
+
+permissions:
+  contents: read
+  pull-requests: read
+
+concurrency:
+  group: pr-check-${{ github.workflow }}-${{ github.event.pull_request.head.sha || github.sha }}
+  cancel-in-progress: true
+
+jobs:
+  check:
+    name: bun run check
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+      - name: Set up Bun
+        uses: oven-sh/setup-bun@v1
+        with:
+          bun-version: 1.x
+
+      - name: Cache Bun dependencies
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.bun/install/cache
+            node_modules
+          key: ${{ runner.os }}-bun-${{ hashFiles('bun.lock') }}
+          restore-keys: |
+            ${{ runner.os }}-bun-
+
+      - name: Install JS/TS dependencies
+        run: bun install --frozen-lockfile
+
+      - name: Set up Rust (stable)
+        uses: dtolnay/rust-toolchain@stable
+
+      - name: Cache Rust dependencies
+        uses: Swatinem/rust-cache@v2
+        with:
+          workspaces: |
+            src-tauri -> src-tauri/target
+          cache-on-failure: true
+
+      - name: Run checks
+        run: bun run check