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I need math help: 7/11/2018 23:30:29

Level 49
Can anybody tell me the growth rate (in the fast-growing hierarchy) of this function?

The function is defined at https://googology.wikia.com/wiki/User_blog:MilkyWay90/Yet_another_attempt_at_making_a_fast-growing_function

There are comments to the old version (where I used Peano Arithmetic, but then it wasn't well-defined), but not to the new version.

Can anybody help?
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