Use lychee instead of mdbook-linkcheck.

.github/workflows/test.yaml

@@ -117,23 +117,35 @@ jobs:
       uses: actions/checkout@692973e3d937129bcbf40652eb9f2f61becf3332 # v4.1.7
     - name: Set up mdbook
       uses: glotzerlab/workflows/setup-mdbook@ea2e25d07af862a1c696a932c2bd6b242d142049 # 0.2.0
-    - name: Add linkcheck configuration
-      run: |
-        echo -e "[output.linkcheck]\nfollow-web-links=true" >> doc/book.toml
-        cat doc/book.toml
     - name: Build documentation
       run: mdbook build doc
       env:
         RUST_LOG: "mdbook=info,linkcheck=warn,reqwest=debug"
-    - name: Set up mdbook
+    - name: Check links
+      uses: lycheeverse/lychee-action@2b973e86fc7b1f6b36a93795fe2c9c6ae1118621  # v1.10.0
+      with:
+        args: -n
+              --exclude https://glotzerlab.engin.umich.edu
+              --exclude doi.org
+              './**/*.md' './**/*.html'
+              -v
+        fail: true
+
+  check_licenses:
+    name: Check licenses
+    runs-on: ubuntu-22.04
+    steps:
+    - name: Checkout
+      uses: actions/checkout@692973e3d937129bcbf40652eb9f2f61becf3332 # v4.1.7
+    - name: Set up cargo-bundle-licenses
       uses: glotzerlab/workflows/setup-cargo-bundle-licenses@ea2e25d07af862a1c696a932c2bd6b242d142049 # 0.2.0
     - name: Check bundled licenses
       run: cargo bundle-licenses --format yaml --output CI.yaml --previous THIRDPARTY.yaml --check-previous
 
   tests_complete:
     name: All tests
     if: always()
-    needs: [unit_test, execute_tutorials, build_documentation]
+    needs: [unit_test, execute_tutorials, build_documentation,check_licenses]
     runs-on: ubuntu-latest
 
     steps: