Add linting

.github/workflows/rust.yml

@@ -8,15 +8,23 @@ on:
 
 env:
   CARGO_TERM_COLOR: always
+  RUSTFLAGS: "-Dwarnings"
 
 jobs:
   build:
-
     runs-on: ubuntu-latest
 
     steps:
       - uses: actions/checkout@v4
+
+      - name: Lint
+        run: |
+          cd backend
+          cargo clippy --all-targets --all --all-features
+          cargo fmt --all -- --check
+
       - name: Build
         run: cargo build --verbose
+
       - name: Run tests
         run: cargo test --verbose