As showcased by Redditor u/Maleficent-Till6391, the cloak appears to stop gaining stamina, even when using a specific thread to increase it. This limitation isn't exactly holding them back though, as their 685k total stamina is equal to about 13.7 million health!
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Although previewed as being completely uncapped outside of programming limitations, it seems that the Cloak of Infinite Potential is rather finite, with a maximum cap of +200k stamina from threads.