This is a tough fight, so grab the pair of smoke grenades stashed in the Dry Goods Storage alcove (42) as you pass. Then move into the first (43) of two kitchen areas and take cover. Toss a smoke grenade then push forward and eliminate disoriented rebels. Watch out for shooters popping out from nooks on the left side of the room; also beware the shotgunner with a Coach Gun who rushes you. When you’ve cleared the first kitchen, rejoin Perceval in the small connecting alcove between kitchens (44).
Now move into the second, bigger kitchen (45) and attack using the same basic approach. A center wall section splits this area into two parts. Move left into the big cooking area and toss another smoke grenade greeting, then start shooting. This is a perfect place to use your Blacksight ability. You can clear the entire space in one Blacksight cycle! Then advance around the corner to the right and nail the last few gunmen.
Exit the kitchen past the steam cookers in the far corner (46) into the Washing area. Here you find fallen ceiling beams (47) obstructing the way. Move next to Perceval at the obstruction and press 
to trigger a new scene. Perceval and Galahad struggle with the debris…and then a further collapse suddenly cuts them off from each other.