If I have a quotation that, within itself, quotes another source, how do I write an in-text citation for the nested quote?

Solution 1:

“In contrast to the dusty, hot, stifling, and crowded city, a fitting setting for Raskolnikov's oppressive and murderous thoughts, we find, for example, 'the greenness and the freshness' of the Petersburg islands [Dostoevsky 53]. The natural surroundings reawakened in him the feelings of his youth, through which he came close to avoiding his crime and to finding regeneration without having to pass through the cycle of crime and punishment” (Gibian).

This is not an answer. Just a suggestion. I could not work out your punctuation until I put it in.