add ignore links

## Description

Response is being re-assigned

## PR Checklist

> Thank you for opening a Pull Request! Before submitting your PR, there
are a
> few things you can do to make sure it goes smoothly:

- [ ] Make sure you reviewed

[CONTRIBUTING.md](https://github.com/googleapis/genai-toolbox/blob/main/CONTRIBUTING.md)
- [ ] Make sure to open an issue as a

[bug/issue](https://github.com/googleapis/genai-toolbox/issues/new/choose)
  before writing your code! That way we can discuss the change, evaluate
  designs, and agree on the general idea
- [ ] Ensure the tests and linter pass
- [ ] Code coverage does not decrease (if any source code was changed)
- [ ] Appropriate docs were updated (if necessary)
- [ ] Make sure to add `!` if this involve a breaking change

🛠️ Fixes #<issue_number_goes_here>

.github/workflows/link_checker_workflow.yaml

@@ -32,7 +32,9 @@ jobs:
           restore-keys: cache-lychee-
 
       - name: Link Checker
+        id: lychee-check       
         uses: lycheeverse/lychee-action@a8c4c7cb88f0c7386610c35eb25108e448569cb0 # v2
+        continue-on-error: true 
         with:
           args: >
             --quiet
@@ -42,16 +44,17 @@ jobs:
             --exclude '^neo4j\+.*' --exclude '^bolt://.*'
             README.md
             docs/
-          output: /tmp/foo.txt
-          fail: true
-          jobSummary: true
+          output: lychee-report.md
+          format: markdown
+          fail: true           
+          jobSummary: false    
           debug: false
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-      # This step only runs if the 'lychee_check' step fails, ensuring the 
-      # context note only appears when the developer needs to troubleshoot.
-      - name: Display Link Context Note on Failure
-        if: ${{ failure() }}
+
+      - name: Display Failure Report
+        # Run this ONLY if the link checker failed
+        if: steps.lychee-check.outcome == 'failure'
         run: |
           echo "## Link Resolution Note" >> $GITHUB_STEP_SUMMARY
           echo "Local links and directory changes work differently on GitHub than on the docsite." >> $GITHUB_STEP_SUMMARY
@@ -59,3 +62,7 @@ jobs:
           echo "See [Link Checking and Fixing with Lychee](https://github.com/googleapis/genai-toolbox/blob/main/DEVELOPER.md#link-checking-and-fixing-with-lychee) for more details." >> $GITHUB_STEP_SUMMARY
           echo "---" >> $GITHUB_STEP_SUMMARY
 
+          echo "### Broken Links Found" >> $GITHUB_STEP_SUMMARY
+          cat ./lychee-report.md >> $GITHUB_STEP_SUMMARY
+
+          exit 1

.lycheeignore

@@ -23,8 +23,7 @@ https://cloud.dgraph.io/login
 https://dgraph.io/docs
 
 # MySQL Community downloads and main site (often protected by bot mitigation)
-https://dev.mysql.com/downloads/installer/
-https://www.mysql.com/
+^https?://(.*\.)?mysql\.com/.*
 
 # Claude desktop download link
 https://claude.ai/download
@@ -37,8 +36,8 @@ https://dev.mysql.com/doc/refman/8.4/en/sql-prepared-statements.html
 https://dev.mysql.com/doc/refman/8.4/en/user-names.html
 
 # npmjs links can occasionally trigger rate limiting during high-frequency CI builds
-https://www.npmjs.com/package/@toolbox-sdk/core
-https://www.npmjs.com/package/@toolbox-sdk/adk
+^https?://(www\.)?npmjs\.com/.*
+
 https://www.oceanbase.com/
 
 # Ignore social media and blog profiles to reduce external request overhead