Add settings e2e test suite, update CI workflow

[MichaelGHSeg]

• Add settings to e2e test_suites in browser e2e-config.json
• Rename SETTINGS_ERROR_TOLERANCE -> SETTINGS_ERROR_FALLBACK
• Skip e2e tests on fork PRs (secrets unavailable)
• Accept e2e_tests_ref workflow input for cross-repo test validation

[changeset-bot]

⚠️ No Changeset found

Latest commit: 48d84a3

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

When changesets are added to this PR, you'll see the packages that this PR includes changesets for and the associated semver types

Click here to learn what changesets are, and how to add one.

Click here if you're a maintainer who wants to add a changeset to this PR

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 91.32%. Comparing base (0ba05ed) to head (48d84a3).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1352      +/-   ##
==========================================
+ Coverage   90.01%   91.32%   +1.31%     
==========================================
  Files          82      163      +81     
  Lines        1793     4393    +2600     
  Branches      406     1052     +646     
==========================================
+ Hits         1614     4012    +2398     
- Misses        179      381     +202     

Flag	Coverage Δ
browser	92.23% <ø> (?)
core	90.16% <ø> (ø)
node	88.52% <ø> (ø)

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.
• 📦 JS Bundle Analysis: Save yourself from yourself by tracking and limiting bundle sizes in JS merges.