I don't think you can really train a bird to be quiet per se, but I recommend a bourke's parakeet. They don't squawk, screech or scream; They will chirp and whistle a bit at a lower pitch/volume, mostly at dawn/dusk. Much quieter than a budgie, as well as being about the same size as one.
Another two parakeets to look into are turquoisines and splendids(scarlet-chested) who, like bourkes, mainly chirp and whistle. However, I don't have first hand experience with these ones, so I can't tell you exactly what the noise volume level is, but they are supposed to be more quiet as well.
Another two parakeets to look into are turquoisines and splendids(scarlet-chested) who, like bourkes, mainly chirp and whistle. However, I don't have first hand experience with these ones, so I can't tell you exactly what the noise volume level is, but they are supposed to be more quiet as well.
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