Restart task manager

[gabegma]

Part of #521

Description:

• Merge after Refactor DatasetSplitManager to reload latest cache. #527
• I needed to add a sleep for tests to run.
• I also needed to return directly if start-up tasks are already ready, to avoid a double restart for nothing.

Checklist:

You should check all boxes before the PR is ready. If a box does not apply, check it to acknowledge it.

• ISSUE NUMBER. You linked the issue number (Ex: Resolve #XXX).
• PRE-COMMIT. You ran pre-commit on all commits, or else, you
  ran pre-commit run --all-files at the end.
• USER CHANGES. The changes are added to CHANGELOG.md and the documentation, if they impact
  our users.
• DEV CHANGES.
  • Update the documentation if this PR changes how to develop/launch on the app.
  • Update the README files and our wiki for any big design decisions, if relevant.
  • Add unit tests, docstrings, typing and comments for complex sections.

[gabegma]

Closed in favor of #529