add(workflow): create check workflow for linting and building

.github/workflows/check.yml

@@ -0,0 +1,45 @@
+name: check
+
+"on":
+  workflow_dispatch: {}
+  push:
+    branches: ["main"]
+  pull_request:
+    branches: ["**"]
+
+jobs:
+  lint:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v5
+
+      - name: Install Nix
+        uses: cachix/install-nix-action@v31
+        with:
+          extra_nix_config: |
+            experimental-features = nix-command flakes
+
+      - name: Run pre-commit from flake devShell
+        run: |
+          # use the flake devShell defined in ./flake.nix (x86_64 runner)
+          nix develop --command pre-commit run --all-files
+        shell: bash
+
+  build:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v5
+
+      - name: Install Nix
+        uses: cachix/install-nix-action@v31
+        with:
+          extra_nix_config: |
+            experimental-features = nix-command flakes
+
+      - name: Run build from flake devShell
+        run: |
+          # use the flake devShell defined in ./flake.nix (x86_64 runner)
+          nix develop --command invoke build
+        shell: bash