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I think that would fall under Daycare Nightmare.
Sorry, vulpeculae, but that's not exactly what I'm looking for. I think it'd be best if I reframe my search. Is there a general trope for evil government/private facilities that perform experiments on children and/or monitors children with special abilities?
Perhaps Superhuman Trafficking? Or maybe Mutant Draft Board?
Yup, Raised in a Lab is what I was looking for, thanks!
An evil government facility or private laboratory is performing experiments on children (or, if not so evil, keeping children who might be dangerous otherwise under control), and they'll have this sad underground daycare with a bureaucrat's idea of what makes kids feel happy and safe - old toys and puzzles, faded out painting on the walls, an artificial "outside" look with fake clouds, trees and grass...
Is that a trope?