The requirements you’ve described are trivial to solve in Godot. Without experience in Maui, I cannot judge your developers, but they seem relatively trivial presentation requirements.
Puzzle Pieces were recently discussed on the forums, with a simple solution.
I have personally programmed drag and drop solutions, and it is highly responsive and relatively easy to set up in Godot, could probably be done in a day, if not a week for a robust system.
Animated elements - like cards flipping - are easily achievable in a variety of fashions, though your particular use-case needs may vary - there’s a degree of difference between using pre-rendered animations or animating the cards on the fly, either in 2D or 3D.
If your devs are in-house, I would recommend running a code jam in a week - that’s how companies like Mega Crit - creators of the highly successful card video-game Slay The Spire come to choose Godot.
If Godot is good enough for their requirements, I do not see why it can’t be good enough for yours.