tag push not triggering other workflow even with PAT

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I have the following action for tagging:

```
name: Bump Version
on:
push:
branches:
- master
jobs:
bump-version-and-deploy:
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@master
# Ensure full history is gotten.
with:
fetch-depth: 0
persist-credentials: false
- name: Bump version and push tag
uses: mathieudutour/github-tag-action@v5.5
with:
github_token: ${{ secrets.BUMP_VERSION }}
default_bump: false
```

where `BUMP_VERSION` is a personal access token. I then have another workflow that is supposed to run on every push to deploy. This used to work but for some reason, now it is not working anymore. The action for the deploy is not triggering at all, even though the tag action above runs successfully and a tag/release is created. The deploy action simply has `on: push` at the top, which I thought should be triggered?

Start by comparing the tagging workflow shown here with the separate deploy workflow's `on: push` trigger and the tag/release event it is expected to receive. Check the GitHub Actions workflow behavior for pushes made by the tagging action, then confirm completion by reproducing a tag push and observing whether the deploy workflow starts.

Written by the indexing model from the issue text.