chore(ci): add cargo-vet to the CI for supply-chain protection.

.github/workflows/supply-chain.yml

@@ -42,3 +42,30 @@ jobs:
         run: cargo supply-chain publishers
       - name: Generate cargo-supply-chain report about crates
         run: cargo supply-chain crates
+    # The setup for cargo-vet follows the recommendations in the cargo-vet documentation: https://mozilla.github.io/cargo-vet/configuring-ci.html
+  cargo-vet:
+    name: Vet Dependencies
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/bin/
+            ~/.cargo/registry/index/
+            ~/.cargo/registry/cache/
+          key: cargo-vet-cache
+      - name: Install stable toolchain # Since we are running/compiling cargo-vet, we should rely on the stable toolchain.
+        run: |
+          rustup toolchain install stable
+          rustup default stable
+      - uses: actions/cache@v4
+        with:
+          path: ${{ runner.tool_cache }}/cargo-vet
+          key: cargo-vet-bin
+      - name: Add the tool cache directory to the search path
+        run: echo "${{ runner.tool_cache }}/cargo-vet/bin" >> $GITHUB_PATH
+      - name: Ensure that the tool cache is populated with the cargo-vet binary
+        run: cargo install --root ${{ runner.tool_cache }}/cargo-vet cargo-vet
+      - name: Invoke cargo-vet
+        run: cargo vet --locked