You could argue that there is though, since the genie will grant three wishes. In that case, it operates like

granted_wishes = 0
while granted_wishes < 3:
    wish = receive_wish()
    granted = grant_wish(wish)  # True if wish is granted, false otherwise (invalid wish etc)
    if granted:
        granted_wishes = 0

So we get

1. Do opposite of next -> granted_wishes = 1
2. Complete 3 -> granted_wishes = 2
3. Enter time loop (recurse)

-inner loop-

1. Do opposite of next (ignored due to outer loop) -> granted_wishes = 0
2. Ignore 3 -> granted_wishes = 1
3. Ignore 1 -> enter time loop (recurse)

-inner loop 2-

1. Do opposite of next (ignored due to outer loop) -> granted_wishes = 0
2. Ignore 3 -> granted_wishes = 1
3. Ignore 1 -> enter time loop (recurse)

… etc.

We get an infinite time-loop recursion, because we never reach the third guess in the inner loops.

For some reason it feels like there’s one though

the point of the genie is that he gets to intuit the unsuplied terms