Actually, you don't even have to make a new account. You can delete your account and make it again reusing the same email.
I did this on accident once because I left the service and decided to come back, and was surprised to get a free tier again. I sent them an email letting them know that was a bug, but they never responded.
I paid for a month of access just to be cautious, even though I wasn't using it much. I don't understand why they don't fix this.