Migrate user profile editing form to use Pajamas form components

Proposal

Update user profile page /-/profile to use Pajamas form components. This will allow for better validation messages and better UX

Current page source is here: app/views/profiles/show.html.haml

This relates to !109377 (comment 1257741721)

Implementation plan

To do this we will need to convert this form to Vue. See tasks for the implementation plan.

Availability & Testing

• No E2E tests needed, please ensure that we have good coverage in unit/integration tests.