chore: Add puppeteer-core dependency

[just-boris]

Description

Fixing this issue: https://github.com/cloudscape-design/chat-components/actions/runs/13394949739/job/37411525211?pr=42

Related links, issue #, if available: n/a

How has this been tested?

Ran locally, they pass.

The PR build fails because the mainline build failed. This will pass after this PR is merged

Review checklist

The following items are to be evaluated by the author(s) and the reviewer(s).

Correctness

• Changes include appropriate documentation updates.
• Changes are backward-compatible if not indicated, see CONTRIBUTING.md.
• Changes do not include unsupported browser features, see CONTRIBUTING.md.
• Changes were manually tested for accessibility, see accessibility guidelines.

Security

• If the code handles URLs: all URLs are validated through the checkSafeUrl function.

Testing

• Changes are covered with new/existing unit tests?
• Changes are covered with new/existing integration tests?

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[just-boris]

The latest is 24.x, I set it to 22.x to be in sync with what webdriverio wants: https://github.com/webdriverio/webdriverio/blob/8908cc4e3cd75e85bf47692477fc5c0ab58f9168/packages/webdriverio/package.json#L105

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.80%. Comparing base (b5b61a9) to head (b1d0edf).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #43   +/-   ##
=======================================
  Coverage   97.80%   97.80%           
=======================================
  Files          30       30           
  Lines         683      683           
  Branches      109      109           
=======================================
  Hits          668      668           
  Misses         12       12           
  Partials        3        3           

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