I have been using "gaming" keyboards for coding for ~10 years now. The only thing to be wary of imo, is keebs that have "extra customizable keys" on them and break conformity from a standard layout. Depends on the device, but Logitech will call them "G keys", for example, and often stick them on the far left of the board, left of tab/caps/L shift. Makes life a lot more difficult if not gaming.

Outside of that, I think calling something a "gaming" keyboard is more of a marketing tactic to up the price. It's hard to not recommend mechanical, but that sounds out of budget and often hard to do wireless/bluetooth, but personally I think mech is the top priority.

What I have seen a lot of peers do is wait to see whatever keyboard the get in office, then buy the same one for home for consistency, rather than dragging a personal one back and forth. Often companies will offer basic boards like logitech K270, K350, or K650. Not amazing, not terrible, and most likely fit in your described criteria.