The meaning of free will is exactly what people are discussing when they talk about whether or not it exists. What does and what doesn’t count as free will is what’s up for discussion.

But you didn’t choose to have the thought did you?

Quick think of a city and then explain to me why you didn’t pick Cairo

Ah that’s really cool. So maybe similar to how turbulence can form at one point while the preceding flow remains laminar?

When I get my ballot with an uncontested seat, I can still choose whether to check the box. Even though it doesn’t impact the outcome at all, I still have the choice on whether to check the box. Even if I am completely restrained and my movements are forced, I still have the choice of whether to accept or resist that action, even if it’s just a mental protest.

So I don’t think there’s ever a case where there are no other options, but there are plenty of situations where there are no other good options (e.g. cake or death), but that doesn’t restrict your free will, it just restricts your options.