Engagement Programs with Default Programs

Hello!

I was working on an engagement program and was wondering if my goals were possible. I have two streams, the first just contains a general email that everyone receives, the second contains five default programs with criteria for sending. Those default programs send an email if the person is a member of a specific program. However, someone in theory could be a member of all five of the specific programs for sending. I wanted the cadence to be a week and if you dont qualify for the first email send program to get sent the next available email without skipping the cast. That way it would be one email per week if someone was in all five programs and only two weeks for someone in two programs.