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if my math is right i think the maximum should theoretically be 423 by taking robbery last

[
5 (starting money) +
7 (beating with all 6 universes and bonus dollar) +
8 (beating with all 7 universes and bonus dollar) +
18 (9 i'm being robbed opportunities * .25 * 8 universes) +
9 (beating with all 8 universes and bonus dollar)
]
* 9 universes = 423

if you can even survive 2 baby fights and 20 rounds of shopkeeper without buying anything or dying in any universe, which, assuming perfect luck, is possible:

baby 1 can be survived at full health in all universes by getting only 1 damage spits and using shield every round + dealing damage

baby 2 will always deal 7 damage to a universe at the end of turn 2, so the best strategy is to maximize dealing damage with uppercut and tutorial sword to kill it before then, at the cost of taking 1 spit damage to every universe.

shopkeeper does 3 damage at the end every odd turn meaning if you shield every turn and use your excess energy to either deal damage or heal you can survive 20 turns with a little wiggle room and deal damage to win in every universe at once instead of tying.

let me know if you can think of a better strategy