test: flaky cypress listing search

[emilyjablonski]

This PR addresses #4334

• [x] Addresses the issue in full

Description

Adds an additional check to the page load before searching the listings table.

How Can This Be Tested/Reviewed?

I've run the tests a bunch, will continue to keep an eye!

Author Checklist:

• [ ] Added QA notes to the issue with applicable URLs
• [ ] Reviewed in a desktop view
• [ ] Reviewed in a mobile view
• [ ] Reviewed considering accessibility
• [x] Added tests covering the changes
• [ ] Made corresponding changes to the documentation
• [ ] Ran yarn generate:client and/or created a migration when required

Review Process:

• Read and understand the issue
• Ensure the author has added QA notes
• Review the code itself from a style point of view
• Pull the changes down locally and test that the acceptance criteria is met
• Either (1) explicitly ask a clarifying question, (2) request changes, or (3) approve the PR, even if there are very small remaining changes, if you don't need to re-review after the updates

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