Yes common in EB but also with Cavalier King Charles Spaniel, English Bulldog, Lhasa Apso, Shih Tzu, West Highland White Terrier, Pug, Bloodhound, American Cocker Spaniel, and Boston Terrier.....
Question, is the cherry eye RED? Not pinky or creamy but really red? I did find when Nyala was a pup her cherry eye would pop when she was excited. You can push it back in. You can “you tube” it n it shows you how.
Did you contact where you got your puppy from and ask about it?
The puppy may need surgery - if you do not wish to commit to this or they do not offer to help you pay/assist you, you may wish to discuss returning before too much time goes by. Sorry to hear about this....but if it's not this, the puppy may have something else eventually. Bullies are not known for being the easiest/healthiest breed to care for.