Disable the NATS tests temporarily again

[jhrozek]

Summary

While introducing the NATS driver is a gret idea and will allow us to
scale better, the tests are still a bit flaky and require us to
reschedule our CI tests quite often.

Let's disable them temporarily

Related: #4542

Change Type

• Bug fix (resolves an issue without affecting existing features)
• Feature (adds new functionality without breaking changes)
• Breaking change (may impact existing functionalities or require documentation updates)
• Documentation (updates or additions to documentation)
• Refactoring or test improvements (no bug fixes or new functionality)

Testing

N/A

Review Checklist:

• Reviewed my own code for quality and clarity.
• Added comments to complex or tricky code sections.
• Updated any affected documentation.
• Included tests that validate the fix or feature.
• Checked that related changes are merged.