Whatever else is going on, that pigeon is also molting. Those are pinfeathers around their face. The plumage could stand to be preened by someone, but I don't get the impression that there's a health issue beyond that going on here.
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Three months old is also close to when they switch over from baby feathers to adult feathers only, as I understand.
Yeah, i guess it is just moulting. I only started to feel weird about it because the sister does not yet. Thank you.
Not an expert but it's interesting that the sibling looks fine -- maybe this one's got a little deficiency? I've seen caged budgies look that way (sad I know).