I think this is a fun idea, but having to wait for instruments to randomly appear is a bit frustrating. Especially when the drums just wouldn't come up. Being able to put them back on the table and grab what you need when you need it I think would work a bit better.
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Yeah the unset randomness is harsh, it's sadly something I didn't have the time to fix. As for placing it back on the table or discarding it, my idea was forcing the player to make interesting choices about which instruments to hold and to discard, but perhaps that's something to work out later. Even so, thanks for the feedback!