If money wasn't an obstacle, I would 100% tell you learn piano.
I played saxaphone for about a decade, and some guitar, but I found it easier to practice piano because most of the music I was learning was written to be played alone. I hated practicing sax and guitar because everything I played really needed a full band to sound complete.
Otherwise go guitar, you can get a cheap guitar for $100. Or you could just rent an instrument.
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