user input producing incorrect boolean

[buran]

it should be

print(menu_ask, "in menu =", menu_ask in menu)

now, couple of advises:
at the moment menu is a str. it's better it to be list/tuple with each item being a str, in this case you can check for exact match. At the moment if your search term is part of another, bigger str, it will still give you True

use string formmating or f-strings to construct the print output