Product selector click is not working fully

[lamATnginx]

Proposed changes

Closes https://github.com/nginxinc/docs-platform/issues/416 and https://github.com/nginxinc/docs-platform/issues/411

Checklist

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• I have read the CONTRIBUTING document
• If applicable, I have added tests that prove my fix is effective or that my feature works
• If applicable, I have checked that any relevant tests pass after adding my changes
• I have updated any relevant documentation (README.md and CHANGELOG.md)

[nginx-jack]

Tiny one - If you click directly on the chevron SVG it doesn't trigger properly.
I dropped a debugger in your greedy "off click" listener. If you click the chevron, that target is technically the svg itself, which doesn't have a classList or a class with product-selector.
The quickest fix would be to add a class to the svg, but worth checking if there's a nicer solution targeting wise.
https://github.com/user-attachments/assets/77833a4b-050f-408f-9465-cfba0533a105

[lamATnginx]

Ready for review. Rewrote the logic needed via checking ancestor + polishing for alignment + adding close icon.

[github-actions]

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