fix: Don't update website in releases before pushing helm charts (#14157)

This fixes a race condition in the release CI workflow. The helm chart publish checks the website for the current edge version, and if the website updates before this check then the job will fail.

See https://github.com/linkerd/linkerd2/actions/runs/15734152324/job/44346112290 for an example

Signed-off-by: Scott Fleener <[email protected]>

Author: sfleen

.github/workflows/release.yml

@@ -215,7 +215,7 @@ jobs:
 
   website_publish:
     name: Linkerd website publish
-    needs: [gh_release]
+    needs: [chart_deploy]
     if: startsWith(github.ref, 'refs/tags/stable') || startsWith(github.ref, 'refs/tags/edge')
     timeout-minutes: 30
     runs-on: ubuntu-24.04