Tua Tagovailoa is not currently injured — he's healthy and fully participating in Falcons OTAs and minicamp. In fact, he's been taking the bulk of first-team reps while competing with Michael Penix Jr. (who is recovering from ACL surgery) for the starting QB job. (from the Tua Tagovailoa page)
The only health caveat in the wiki is the general one: analysts like ESPN's Louis Riddick say Tua should win the starting job "if he stays healthy" — referencing his concussion history from his Miami days, not a current issue. He's currently favored at 58% odds to start Week 1.