CI: Remove deprecated actions-rs and add cargo doc test

.github/workflows/build.yaml

@@ -11,36 +11,30 @@ jobs:
           - macos-latest
           - windows-latest
     runs-on: ${{ matrix.os }}
-
     steps:
       - uses: actions/checkout@v4
-
       - name: Cargo build
-        uses: actions-rs/cargo@v1
-        with:
-          command: build
-          args: --workspace --all-targets
+        run: cargo build --workspace --all-targets
 
   fmt:
     runs-on: ubuntu-latest
-
     steps:
       - uses: actions/checkout@v4
-
       - name: Cargo fmt
-        uses: actions-rs/cargo@v1
-        with:
-          command: fmt
-          args: --all -- --check
+        run: cargo fmt --all -- --check
 
   clippy:
     runs-on: ubuntu-latest
-
     steps:
       - uses: actions/checkout@v4
-
       - name: Cargo clippy
-        uses: actions-rs/cargo@v1
-        with:
-          command: clippy
-          args: --workspace --all-targets -- -Dwarnings
+        run: cargo clippy --workspace --all-targets -- -Dwarnings
+
+  doc:
+    runs-on: ubuntu-latest
+    env:
+      RUSTDOCFLAGS: -Dwarnings
+    steps:
+      - uses: actions/checkout@v4
+      - name: Cargo doc
+        run: cargo doc --workspace