Hi, my name is meaghan! I am new to the betta world, my betta King Caidyn has had a chunk missing from his back tail the past 3 days, and each day it gets worse. The first day, his tail was perfect, it was spread and long. And now, it has a that chunk missing, I'm not sure if it is fin rot or tail biting. But it worries me

It is very uneven, and it is getting closer and closer to his body.
At the moment I keep him in a .33 gallon tank(I got him last wednesday8/8/12, my sister brought him home&was going to flush him so i had to figure something out), today I bought a 1.1 gallon tank, and plan on moving him into it soon. Yesterday I started him on aquarium salt. My 2 questions are, do you think it is fin rot or do you think it is tail rot? I am going to continue the aquarium salt for a few days, should I continue it in the .33 gallon tank, or move him to the 1.1 gallon tank and continue the salt in there?
Thank you to anyone who responds, it is much needed!