Cherry pick #7009 to release-v0.44

[ptodev]

The build failed without this change:

Run git clone --single-branch --no-tags --depth 1 -b master ***github.com/grafana/website-sync ./.github/actions/website-sync
  git clone --single-branch --no-tags --depth 1 -b master ***github.com/grafana/website-sync ./.github/actions/website-sync
  shell: /usr/bin/bash -e {0}
Cloning into './.github/actions/website-sync'...
remote: Support for password authentication was removed on August 13, [2](https://github.com/grafana/agent/actions/runs/13015320633/job/36306192804#step:7:2)021.
remote: Please see https://docs.github.com/get-started/getting-started-with-git/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.
fatal: Authentication failed for 'https://github.com/grafana/website-sync/'
Error: Process completed with exit code 128.