How to run a github action workflow after release triggered workflow?

I have two separate workflows. One for testing and one for deploying. The deploy workflow should only run if the test workflow completes succesfully

Test workflow

name: run-tests
on:
  release:
    types: [published]

jobs:
  ....do stuff

Deploy workflow

name: deploy
on:
  workflow_run:
    workflows: ["run-tests"]
    branches: [main]
    types:
      - completed
jobs:
  deploy:
    if: ${{ github.event.workflow_run.conclusion == 'success' }}

According to Github Actions docs and several Stack Overflow questions that is how it should be done. However, that doesn't work. The problem is that when I create a new release on Github, it triggers the first test workflow, but the name of the workflow is the name of the release tag .i.e v1.2.3!

The workflows will run correctly if I set a manual trigger on the test workflow and run it manually. Then the workflow will get the name run-tests and the trigger for the deploy works.

How can I make the delpoy workflow trigger to work also when the test workflow is triggered by a new release?

Coming back to this old question as it is still unanswered. The key here was to know that one can not chain workflows with workflow_run unless the first workflow is triggered either by push or pull_request events or unless the first workflow is manually triggered.

So basically one can't chain the workflows, if the first workflow is triggered by release event.