Banking app mistake

I deposited money using the banking app into a wrong account by mistake. I then went to the branch same day to inform them so that they can reverse the money only to be told that the bank can only do so once they get permission from the receipt of my money to reverse it. I fail completely to understand how the bank does not consider that I made a mistake and gives all the power and the glory to someone who doesn't even know how or why there's money in their account. I was told that it's invasion of privacy for the bank to reverse money without getting permission from whoever received it and that they can not reverse what is not there meaning if that person has spent it there's nothing they can do. They can't block it or call the other client to the bank to clarify the mistake. I am so hurt I lost 1500 just like that