So i'm gonna guess that this film gets moved back to it's original release date of May 3, 2024 with Deadpool getting pushed back to July or so. Brave New World was able to finish filming and is in Post-production currently. Deadpool 3 still has to go back into production and tbh, Ryan Reynolds is probably going to want to reshoot some of the stuff he was forced to shoot without improv (he's a producer on the movie too, so he can make a call like that).
Who knows how long the strike is gonna go on for and then the big issue after that is that that strikes cause is getting actors back together for filming. For example, Ryan Reynolds next project is a remake of Clue and that was already supposed to be in production. If Reynolds has his calendar booked for Clue for a period of time, then that *would* cause an issue in getting Deadpool 3 in production again... if 20th Century Studios wasn't the one producing Clue (meaning Disney can just push off the filming for Clue).
However, that's not going to be the situation with most actors. Most actors are going to have projects that were pre-scheduled in say January and if a movie wants to start filming again around that same time, then it's a bit rough in getting all your actors back together at the same time. Just because the industry stopped doesn't mean that your productions that were on hiatus get priority over something that actors were pre-scheduled for.