test: remove default test watch from privacy center

[speaker-ender]

Description Of Changes

Quality of life change.
Aligns the privacy center test scripts so that the default test job only runs once.
A separate test:watch job is added for running tests with the watcher.

Code Changes

• No changes to actual code. Only package scripts updated.

Steps to Confirm

1. Run turbo run test and confirm that the script exits with pass/fail values
2. Run turbo run test:watch and confirm that all test suites re-run on changes

Pre-Merge Checklist

• [ ] Issue requirements met
• [ ] All CI pipelines succeeded
• [ ] CHANGELOG.md updated
  • [ ] Add a https://github.com/ethyca/fides/labels/db-migration label to the entry if your change includes a DB migration
  • [ ] Add a https://github.com/ethyca/fides/labels/high-risk label to the entry if your change includes a high-risk change (i.e. potential for performance impact or unexpected regression) that should be flagged
  • [ ] Updates unreleased work already in Changelog, no new entry necessary
• Followup issues:
  • [ ] Followup issues created
  • [ ] No followup issues
• Database migrations:
  • [ ] Ensure that your downrev is up to date with the latest revision on main
  • [ ] Ensure that your downgrade() migration is correct and works
    • [ ] If a downgrade migration is not possible for this change, please call this out in the PR description!
  • [ ] No migrations
• Documentation:
  • [ ] Documentation complete, PR opened in fidesdocs
  • [ ] Documentation issue created in fidesdocs
  • [ ] If there are any new client scopes created as part of the pull request, remember to update public-facing documentation that references our scope registry
  • [ ] No documentation updates required

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2 Skipped Deployments

Project	Deployment	Preview	Comments	Updated (UTC)
fides-plus-nightly	Ignored	Preview		Oct 16, 2025 2:03pm
fides-privacy-center	Ignored			Oct 16, 2025 2:03pm