Resolves https://github.com/Automattic/dotcom-forge/issues/10205.

Proposed Changes

• fix broken Search box border corners
• remove broken hover styles

ℹ️ As the PR also includes a number of minor formatting changes, I have highlighted the main changes above with inline PR comments.

Before

After

Why are these changes being made?

To resolve https://github.com/Automattic/dotcom-forge/issues/10205.

Testing Instructions

1. Check out the PR branch and build the Calypso app (or use the Calypso live link).
2. Access http://calypso.localhost:3000/setup/new-hosted-site/domains?ref=studio&section=studio-sync&showDomainStep.
3. There should be no visible styling issue.
4. There should be no regressions on the domain selection during the normal site creation flow, e.g. at http://calypso.localhost:3000/setup/onboarding/domains?source=sites-dashboard&ref=topbar&start_ref=https%3A%2F%2Fwordpress.com%2F&categories=blog.

Pre-merge Checklist

• Has the general commit checklist been followed? (PCYsg-hS-p2)
• Have you written new tests for your changes?
• Have you tested the feature in Simple (P9HQHe-k8-p2), Atomic (P9HQHe-jW-p2), and self-hosted Jetpack sites (PCYsg-g6b-p2)?
• Have you checked for TypeScript, React or other console errors?
• Have you used memoizing on expensive computations? More info in Memoizing with create-selector and Using memoizing selectors and Our Approach to Data
• Have we added the "[Status] String Freeze" label as soon as any new strings were ready for translation (p4TIVU-5Jq-p2)?
  • For UI changes, have we tested the change in various languages (for example, ES, PT, FR, or DE)? The length of text and words vary significantly between languages.
• For changes affecting Jetpack: Have we added the "[Status] Needs Privacy Updates" label if this pull request changes what data or activity we track or use (p4TIVU-aUh-p2)?