So, I have a great deal of ambidexterity that appears to be a result of being forced to be right handed when I was born naturally left. I golf left handed, eat left handed, etc. I also seem to have been born with a great deal of natural finger dexterity, despite not having overly large hands or long fingers (if you're gonna make a joke, I promise, I've heard it). I played professional pool for many years and as a result of which, my left hand is extremely limber. I can type around 100WPM (this drops 5WPM per shot of scotch, I know, I've experimented). Mathematically, I'm pretty lucky in that I like it and I'm good at the higher level maths. I can work a deck of cards. I have zero music ability or talent. Will any of my physical attributes carry over if I want to learn to play piano or am I just gonna have to work on another skill?
The physical aspect of learning any musical instrument involves a lot of specific motor skills and muscle memory, from gross positioning to fine touch. While general coordination from billiards and typing can help with basics, it’s likely that musical timing and expressiveness will require entirely new skills. That said, you are not particularly disadvantaged either. The basics of learning a new instrument – physical familiarity with the layout, scales and chords, posture and touch – take an adult about 1–3 years regardless of prior experience. Ambidexterity does not make a lot of difference either, as most musical instruments require significant coordination from both hands, with a slight bias toward the right hand.