ci: testing if coverage steps cause issue if under test jobs

.github/workflows/test.yml

@@ -45,7 +45,22 @@ jobs:
     steps:
       - uses: actions/checkout@v4
       - name: Install Rust stable
-        uses: dtolnay/rust-toolchain@stable
+        uses: dtolnay/rust-toolchain@nightly
+        with:
+          components: llvm-tools-preview
+
+      - uses: taiki-e/install-action@v2
+        with:
+          tool: nextest
+      - uses: taiki-e/install-action@v2
+        with:
+          tool: cargo-llvm-cov
+
+      - name: Collect coverage
+        run: |
+          cargo llvm-cov --no-report nextest
+          cargo llvm-cov --no-report --doc
+          cargo llvm-cov report --doctests --lcov --output-path lcov.info
 
       - name: Test default features
         run: cargo test --all-targets