How do you know if you're gifted?
Of course not everywhere would have such programs, but there will likely be other tell-tale signs as well.
I think the answers to those questions are pretty strong indicators. Fundamentally, though, IMO most people who are gifted know it.
Personally, I'd never even heard of the term "gifted" until I left home for university, it wasn't a thing that existed in the rural location where I grew up.
When I was growing up, it meant you scored 130 or higher on an IQ test administered by a professional psychologist. For me, I had this administered in 3rd grade. I assume some teacher suggested I get tested.