add check step

.gitea/workflows/backend.yaml

@@ -3,6 +3,25 @@ run-name: ${{ gitea.actor }} is running backend actions
 on: [push]
 
 jobs:
+  check:
+    runs-on: rust-latest
+    defaults:
+      run:
+        working-directory: ./backend
+    steps:
+      - uses: actions/checkout@v4
+      - name: Load Cache
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+            backend/target
+          key: ${{ runner.os }}-cargo-check-${{ hashFiles('backend/Cargo.lock') }}
+      - name: Run Clippy
+        run: cargo clippy --no-deps -- -Dwarnings -Dclippy::correctness -Wclippy::pedantic -Wclippy::perf -Aclippy::missing_errors_doc -Aclippy::missing_panics_doc
+
+
   build:
     runs-on: rust-latest
     defaults:
@@ -16,8 +35,8 @@ jobs:
           path: |
             ~/.cargo/registry
             ~/.cargo/git
-            target
-          key: ${{ runner.os }}-cargo-build-${{ hashFiles('Cargo.lock') }}
+            backend/target
+          key: ${{ runner.os }}-cargo-build-${{ hashFiles('backend/Cargo.lock') }}
       - name: Build Release Binary
         run: cargo build --release --locked
 
@@ -34,8 +53,10 @@ jobs:
           path: |
             ~/.cargo/registry
             ~/.cargo/git
-            target
-          key: ${{ runner.os }}-cargo-test-${{ hashFiles('Cargo.lock') }}
+            backend/target
+          key: ${{ runner.os }}-cargo-test-${{ hashFiles('backend/Cargo.lock') }}
+      - name: Build Binary with Shutdown
+        run: cargo build --features shutdown --bin nuchat
       - name: Build Test Binary
         run: cargo test --no-run
       - name: Run Tests
@@ -44,4 +65,4 @@ jobs:
         uses: actions/upload-artifact@v4
         with:
           name: nuchat-${{ hashFiles('src/**') }}-${{ hashFiles('tests/**') }}.log
-          path: logs/*
+          path: backend/logs/*