There's no an governmental institution in Bulgaria that collects Bulgarians from the streets and sending them to other countries to work work cheap, like they do with doctors in Cuba or workers in DPRK.
You find a job, get a plane ticket, go there and work, get paid like everyone else. That doesn't make you a cheap Bulgarian labor. They like to call it like that because the talent pool increases and they want to imagine that employers are hiring Bulgarian butchers that can't cut meat or Bulgarian developers that can't code just because its cheap. That's not the case, it's a free market.