Always show trait dropdowns in the Instruments dialog

Your idea

So, when you start working on a new piece, whether it be a solo piano piece, a trio, or an orchestral piece, you are presented with this:

Seems easy enough, right?
You click on the instrument you want, press on the arrow, and MuseScore automatically adds it to the score!
Ok, I want to have a piano... easy enough.

Then, I want to have a trumpet in Bb...

...and a clarinet in A.
Alright, a clarinet is a woodwind instrument, so...

Oh. MuseScore only has a clarinet in Bb. And that's what you might think.
...
And you'd be wrong.
Actually, MuseScore has clarinets in Bb, Eb, D, C, A and G.
But where are they?!
Sure, you can search for "clarinet" and..

There it is! Just click on the dropdown and select "A".
...
But why do you have to do it like this?
How about this:
If I want to add an instrument in another key (like a clarinet in A or C), I expect MuseScore to do this,:

and not this:

where, again, if I want a clarinet in A, I have to either search for "clarinet", or, do it the harder way: go to "all instruments", "woodwinds", scroll down a ton and find "clarinet".
It's ridiculous.

Problem to be solved

Many orchestral writers' time.

Prior art

No response

Additional context

No response

Start by locating the Instruments dialog and the code that decides when instrument trait dropdowns are shown. Reproduce the add-instrument flow with clarinets and other instruments that have variants, then verify that their available trait choices are visible without searching or navigating through All instruments.