Change Up the Style Dialog's Tabs

Your idea

Currently, the style dialog looks like this.

The right side, the content of the tabs, looks fine. However, the left side could be improved (see "Problem to be Solved" section).
I suggest the following improvements:

• A search bar at the top
• UI similar to the one used to select instruments
• Icons?

Problem to be solved

I have identified the following issues with the tab selector:

• Cluttered
• Hard-to-read text
• Hard to search for what I need

Prior art

No response

Additional context

This is my first time writing an issue for MuseScore, and I am still generally unfamiliar with the developmental zeitgeist. Please forgive any transgressions I might have incurred as a result of this issue.

Checklist

• This request follows the guidelines for reporting issues
• I have verified that this feature request has not been logged before, by searching the issue tracker for similar requests

The issue names the style dialog and instrument selector but no files, tests, or concrete design. Start by locating those UI entry points in the desktop application and compare the current tab selector with the instrument-selection UI. Done requires an agreed design that resolves the clutter, readability, and search concerns; the implementation scope is not yet specified.