Avoid cancellation of action

[LorenzHW]

I have two workflows. Both trigger github-pages-deploy-action. Each workflow updates a directory on the gh-page branch:

workflowA --> deploy --> change content in directoryA
workflowB --> deploy --> change content in directoryB

The problem that I have is if workflowA finishes and starts deploying content to directoryA and workflowB finishes and starts deploying to directoryB then the first deploy gets cancelled and I loose all the data that is in directoryA. How can I force that the first deployment does not get cancelled. I am aware of the concurrency parameter but I don't think it helps me because workflowA and workflowB are allowed to run concurrently.

Any ideas?