As did I.I suggested this as the OP stated it had to go tomorrow. Finding a GOOD home in less than 24 hours is very unrealistic. I hope the OP takes some time to think about this.
It is a very sad situation.
If it were my dog I wouldn't even consider parting with him/her. I would consider it to be my fault for letting the dog stay with the birds unsupervised, and the simple solution is to not let it happen again.