There are $10$ coins, one of which is a fake, and weighs either more or less than the others - you don't know which.
There are two sets of scales - one tells the truth, the other lies (always says equal weighings are unequal but either way, unequal weighings are either equal or wrong.) - you don't know which is which. The lying scales decisions are made by an AI unit - see comments.
Both scales only allow an equal number of coins on either side (and at least one) to be tested.
How many weighings are needed to find the fake coin?