Use proximity mines to prevent the bridge from going down.
How to Keep the Bridge Up
All credit goes to hihi'ldan !
The key idea here is that you can only have two proximity mines set up at a time. Once you set down a third one, the first mine automatically goes off.
You can use this fact to kill the Cultist who pulls the bridge lever before the cutscene is ever triggered and dispatch the Red Cultist who creates more plaga-heads immediately after.
Then, you’re free to either clear the room by simply holding the bridge or just grab the Goat Head and be on your merry way.
A flashbang also works.
clever, i think that’s the worst area in the remake,it drains 80% of your ammo supply and there’s no rocket launcher in there.