Replace New Tab Menu Match Profiles functionality with regex support

[carlos-zamora]

Summary of the Pull Request

Updates the New Tab Menu's Match Profiles entry to support regex instead of doing a direct match. Also adds validation to ensure the regex is valid. Updated the UI to help make it more clear that this supports regexes and even added a link to some helpful docs.

Validation Steps Performed

✅ Invalid regex displays a warning ✅ Valid regex works nicely

PR Checklist

Closes #18553

[carlos-zamora]

Demo

[lhecker]

Don't spam this repo with LLM responses. We have access to those ourselves as well. Thanks!