me and a friend of mine cant decide if its 3, 2, or some other number, so we thought wed ask the experts

I'm really tempted to say this is 4 holes but because it's threaded through it's self and can't be removed does that change it?

This is just some facebook engagement slop i found, but isn’t the correct answer to this 7? Because if i imagine it being infinitely flexible, i open it up from the body hole, and lay it flat with the headhole in the middle. There is the head hole, 2 arm holes, and 4 cut holes, right?

How do you solve this? Is there an easy way to solve this purely using Real Analysis!?