ci: compile-check rust code & run rust tests when Rust code changes (#742)

Run some basic Rust checks in our CI iff rust code changes

.github/workflows/rust_code_compile_check.yml

@@ -0,0 +1,54 @@
+name: Rust Code Compile Check
+
+on:
+  pull_request:
+    # Only run it when Rust code changes
+    paths:
+      - 'src-tauri/**'
+
+jobs:
+  compile-check:
+    strategy:
+      matrix:
+        platform: [ubuntu-latest, windows-latest, macos-latest]
+    
+    runs-on: ${{ matrix.platform }}
+    
+    steps:
+    - uses: actions/checkout@v4
+
+    - name: Checkout dependency (pizza-engine) repository
+      uses: actions/checkout@v4
+      with:
+        repository: 'infinilabs/pizza'
+        ssh-key: ${{ secrets.SSH_PRIVATE_KEY }}
+        submodules: recursive
+        ref: main
+        path: pizza
+
+    - name: Install dependencies (ubuntu only)
+      if: startsWith(matrix.platform, 'ubuntu-latest')
+      run: |
+        sudo apt-get update
+        sudo apt-get install -y libwebkit2gtk-4.1-dev libappindicator3-dev librsvg2-dev patchelf xdg-utils
+
+    - name: Add pizza engine as a dependency
+      working-directory: src-tauri
+      shell: bash
+      run: cargo add --path ../pizza/lib/engine --features query_string_parser,persistence
+
+    - name: Check compilation (Without Pizza engine enabled)
+      working-directory: ./src-tauri
+      run: cargo check 
+
+    - name: Check compilation (With Pizza engine enabled)
+      working-directory: ./src-tauri
+      run: cargo check --features use_pizza_engine
+    
+    - name: Run tests (Without Pizza engine)
+      working-directory: ./src-tauri
+      run: cargo test
+
+    - name: Run tests (With Pizza engine)
+      working-directory: ./src-tauri
+      run: cargo test --features use_pizza_engine