is it safe to use

ContextAmbient.current

wherever I want in my code?

Safe in what way?

I was concerned that it could leak context or throw some kind of exception since it was static

As far as i understood the system now: This function is a composable and can only be called inside of an other composable function. So you can not use it everywhere. And inside a composable function it should be safe.

As long as you don't send a long-lived reference someplace else 🙂