Make badges in app/views/profiles/emails/index.html.haml Pajamas-compliant

What does this MR do and why?

This MR changes badges in the profile emails to use the Pajamas-compliant component.

Screenshots or screen recordings

No visual changes, the screenshot is for the context:

How to set up and validate locally

1. Go do Preferences -> Emails and verify the Linked emails section

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• I have evaluated the MR acceptance checklist for this MR.

Related to #344334 (closed)