Do You Think We Need This Kind of Strong Free Will?

Campatiblists want to say we don't need this kind of strong free will you believe in. We just need like, my desire and my belief caused by action,. That mental state causes me to have a cup of tea. But then there are these counter examples where it seems like the relevant desire is there, but we wouldn't want to say, the person acted. So how can we get rid of these counter examples? I think at the very least, ive created a challenge to the compatiblist strategies that have been adopted traditionally.