Oh I love these chicken and eggs games!
1. So when Beta1 is released, it is given to the Alphans first (to check for bugs offcourse). As soon as Beta1 is given to the Alphans, it transforms into an Alpha product. Once OK'd, it transforms again into the Beta1.
2. So when Beta2 is released, it is given to both Alpha and Beta1 people.
But wait... that dosn't make sense.
How can the QA of Beta2 be left to the fumblings of Beta1?
Surely, for consistency, Beta2 needs to be given to the Alphans first (to check for bugs offcourse). It gets transformed into a Alpha, and once they have cleared it, it gets transformed into the Beta1 (who fumble around), who then clear it to be transformed into the Beta2.
Quite a simple process, free from confusion and misunderstanding.
Ahh yes;... "chicken and eggs", 'Tasty' but invaluable in a game...