You need to spend as much time with him as possible and you also need to introduce him to socializing with one of the other budgies outside of the cage for a little while at a time so he can get used to be with another budgie. Each budgie should have some time with Piccolo so you can see what personality type he prefers to interact with. I've had this problem only twice and it was a matter of waiting it out and finding out which budgie the seemingly "depressed" budgie preferred. You also need to change out his routine and get him used to doing things that aren't ordinary so he doesn't get bored. Change out his toys and change his scenery. Bring him out with you and let him move about and do things to see if activity can change his behavior.
What's he eating? When is he eating? How often is he eating? Will he eat socially with the other budgies? Will they allow him to eat or do they bully him away from the food?
So many different things going on with this budgie, however, no matter how much this budgie wants to be alone, don't let it be entirely alone. That's not healthy.
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