UI: Adjust "Add New" search bar layout and provider dropdown caret styling

[jberlyn]

Problem

On the Add New screen in the UI, the search bar elements were awkwardly arranged:

• The search text box clear button ("X") was placed after the metadata provider dropdown (Goodreads / Audiobooks / Hardcover) rather than directly attached to the search input it clears.
• The provider dropdown was sandwiched between the search input and the clear button instead of appearing as a separate filter control to the right.
• The provider dropdown caret (arrow) was positioned right up against the right border of the box due to native select rendering and fixed width constraints, leaving awkward spacing.

Change summary

• Reordered search input controls: Moved the clear button (.clearLookupButton) to attach directly to the right side of the search text input (.searchInput), forming a cohesive search box group with the search icon.
• Separated provider dropdown: Positioned the metadata provider dropdown (.providerSelect) to the right of the search input group with standard spacing and full border radius.
• Customized dropdown caret:
  • Replaced native select arrow with a styled FontAwesome caret down icon (icons.CARET_DOWN) with pointer-events: none.
  • Set appearance: none on the select input to hide the browser-default menulist arrow.
  • Positioned the caret 16px from the right edge with generous right padding (padding-right: 40px) to prevent text overlap and balance with the 16px left padding.
  • Allowed dynamic width sizing (width: auto) instead of a fixed width.

Screenshots

Before

After

Test summary

• Built production frontend bundle with Webpack (yarn build) and ran TypeScript typecheck (yarn typecheck).
• Deployed and tested UI changes live on a local Chaptarr container instance.
• Verified search input, typing, enter/submit, clear button ("X") functionality, provider selection dropdown, and visual layout/caret alignment across themes.

[robertlordhood]

Ty for the screenshot! I pulled it and built it and it looks way better. Appreciate you!