The concept is good. I would maybe give the player a bit more time are first. I started and died like 4 times trying to read what all the items do before I could actually try the game.
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I think with the way buying stuff takes time away you could give the player a ton of time to start. It might feel best if it's almost impossible for the player to lose by just standing their and buying nothing for a few minutes. Im not sure, play around with it. It felt like it was balanced pretty well once I got going but it took multiple deaths to read fast enough to be able to get going