Fix failing and flaky E2E tests

[dkotter]

What?

Fixes flaky E2E image edit tests. Also updates some tests based on the new Connectors markup that's in WordPress trunk

Why?

Some of the image edit E2E tests tend to be flaky, sometimes passing, sometimes not. Seems to be most flaky in our pipeline runs.

Also have some tests that started failing due to markup changes to the Connectors screen recently merged into WordPress trunk

How?

Ensure we wait properly for click events to happen. Update our selectors

Use of AI Tools

Used Cursor running GPT-5.3 Codex to investigate and fix the issue. Ran E2E tests myself locally multiple times to verify the fix

Testing Instructions

n/a. Just ensure E2E tests pass

[github-actions]

The following accounts have interacted with this PR and/or linked issues. I will continue to update these lists as activity occurs. You can also manually ask me to refresh this list by adding the props-bot label.

If you're merging code through a pull request on GitHub, copy and paste the following into the bottom of the merge commit message.

Co-authored-by: dkotter <dkotter@git.wordpress.org>

To understand the WordPress project's expectations around crediting contributors, please review the Contributor Attribution page in the Core Handbook.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 57.70%. Comparing base (84a23e6) to head (ab87dba).
⚠️ Report is 4 commits behind head on develop.

Additional details and impacted files

@@            Coverage Diff             @@
##             develop     #360   +/-   ##
==========================================
  Coverage      57.70%   57.70%           
  Complexity       617      617           
==========================================
  Files             46       46           
  Lines           3173     3173           
==========================================
  Hits            1831     1831           
  Misses          1342     1342           

Flag	Coverage Δ
unit	57.70% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

☔ 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.