feat: Install Nix on GitHub Actions

.github/workflows/flake_check.yml

@@ -0,0 +1,38 @@
+name: Nix Flake Check
+
+on: [pull_request]
+
+jobs:
+  check:
+    runs-on: ubuntu-latest
+
+    permissions:
+      contents: write
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v2
+
+      - name: Install Nix
+        uses: cachix/install-nix-action@v24
+
+        with:
+          nix_path: nixpkgs=channel:nixos-unstable
+
+      - name: Install Nix Linting and Formatting Tools
+        run: nix-env -i statix nixpkgs-fmt -f '<nixpkgs>'
+
+      - name: Run Statix Lint
+        run: statix fix
+
+      - name: Run Nix Format
+        run: nix fmt
+
+      - name: Nix Flake Checker
+        uses: DeterminateSystems/flake-checker-action@v5
+
+      - name: Commit
+        uses: stefanzweifel/git-auto-commit-action@v5
+        with:
+          commit_message: Auto lint/format
+          branch: dev