James Goss, who is overseeing the storylining for the project, has said on Twitter that each medium will follow its own narrative strand, so people who only read the comics or listen to the audios will get a complete story, though of course crossing media will add to the experience.
That's the best way to do something like this. Make it work both for the people who experience one part and those who experience the whole.
The idea of including escape rooms in a multimedia franchise experience like this is a new one, though. That strikes me as weird, though maybe it just goes to show how popular escape rooms have gotten. Still, I have to wonder if they'll still be popular after the current crisis. Will people want to be reminded of being stuck in their homes desperate to get out? Or will they be so used to feeling safe at home that they won't want to escape? Right now it's the outside that seems like the place we need to escape from.
Ooh -- in-universe, imagine what a great escape room the actual TARDIS would make! The Doctor could rent it out at birthday parties. Although it might take a week for people to find their way out...