Failing Unit Tests

[ZacharyRener]

Describe the bug

There are currently multiple unit tests and e2e tests failing. This is for two reasons:

1. GitHub Token Format Change (same as outlined in this ElasticPress issue: BUG: Tests failing - WordPress 7.0 Release Issue, GitHub Token Format Rollout Issue, WooCommerce 10.8.0 Bug  ElasticPress#4320)
   • This is because of ElasticPress Labs' 10up/elasticpress dev dependency
   • Solution: composer update 10up/elasticpress - bring in the solution from dev-develop
2. The Search Templates feature
   • There was a recent ElasticPress change here: https://github.com/10up/ElasticPress/pull/4272/changes#diff-2faf9dfd1d2996af75419f5b8a871a1abadeed66b9417539b12c35111f5a7bae
   • It correctly resulted in the test_set_settings_schema SearchTemplate test failing, because it wasn't setting the host as EP.io even though the feature is only available on EP.io. The EP change just resulted in it now being caught

Steps to Reproduce

1. Open a PR with a whitespace change just to check the tests
2. Verify that the unit tests are failing, e.g. Trigger tests #204
3. Verify the failure error, e.g. https://github.com/10up/ElasticPressLabs/actions/runs/27837323447/job/82388278888?pr=204
4. Verify that this PR results in the tests now passing

Screenshots, screen recording, code snippet

No response

Environment information

No response

WordPress information

No response

Code of Conduct

• I agree to follow this project's Code of Conduct

[ZacharyRener]

This one is ready for review @felipeelia