chore: run clippy in the formatting CI workflow

Author: barjin

.github/workflows/format.yaml

@@ -7,7 +7,7 @@ on:
 
 jobs:
   fmt:
-    name: Check code formatting
+    name: `rustfmt`
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
@@ -17,4 +17,16 @@ jobs:
           components: rustfmt
 
       - name: Rustfmt Check
-        uses: actions-rust-lang/rustfmt@v1
+        uses: actions-rust-lang/rustfmt@v1
+  clippy:
+    name: `clippy`
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - uses: actions-rust-lang/setup-rust-toolchain@v1
+        with:
+          components: clippy
+
+      - name: Clippy Check
+        run: cargo clippy --all --deny warnings --manifest-path=./Cargo.toml