For builds ONLY: Fuzzy text search, part 3: Add fuzzy search to StyledMenu

[juli27]

Place to trigger MSS builds because I can't trigger them over at musescore/muse_framework#200

I've implemented filtering in menus. This can be tested in the mixer sound & fx selection. *
Sorting (ranking) has not been implemented yet because two design questions came up:

1. Should search results be ranked or stay in alphabetical order? Implement search field component in context menus #31544 explicitly mentions alphabetical order
2. If ranked: Should ranking only be inside their respective sound library (MS Basic, MuseSounds etc.) or should it rank them strictly by similarity to the search query?

*: Once the GitHub Actions outage is resolved resolved

• I signed the CLA as username:
• The title of the PR describes the problem it addresses.
• Each commit's message describes its purpose and effects, and references the issue it resolves. If changes are extensive, there is a sequence of easily reviewable commits.
• The code in the PR follows the coding rules.
• I understand all aspects of the code I'm contributing and I'm able to explain it if requested.
• The code compiles and runs on my machine, preferably after each commit individually. I have manually tested and verified that my changes fulfil their intended purpose.
• No prior attempts to resolve this problem exist, or if they do, I listed them in my PR description and described how I avoided repeating past mistakes.
• There are no unnecessary changes.
• I created a unit test or vtest to verify the changes I made (if applicable).

[juli27]

@avvvvve Mind taking a look and answering a few questions when you get a chance?