Switching birth control

Maddie
I'm almost 100% positive that I shouldn't BUT I need some advice. So, I went to get my new birth control pack on Tuesday, the day of my next pack should start. My doctors hasn't refilled it even tho they were supposed to. My pharmacy faxed them, I called them and she aid they would send it in they didn't tho. I had different birth control at another pharmacy so because I was having sex I decided to take that pill again for the month. They just called me today to tell me it came in. Is it safe to start taking the other pill 3 days into the pack?? Probably not. Should I just keep that one and switch again at the end of the month?