Hello and a warm welcome to PC.
I wish you well in finding a therapist to help you work through this. I know you love your dad. I agree with the others that your life is just beginning at 23 and you need to be careful that your dad’s problems don’t totally sweep you off your feet. I’m glad he is going to see a psychiatrist who can, hopefully, give him some relief for his depression.
Hang in there and take good care of yourself.