Feat: profile edit basic info section

What does this MR do and why?

• Implement main settings section with Vue, part of #393769.

MR acceptance checklist

Please evaluate this MR against the MR acceptance checklist. It helps you analyze changes to reduce risks in quality, performance, reliability, security, and maintainability.

Screenshots or screen recordings

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How to set up and validate locally

   Feature.enable(:profile_edit_vue)

Numbered steps to set up and validate the change are strongly suggested.