Things you could do to help do a partial calibration is the balance the contrast and brightness, if you can hook up your PC to the projector a quick search for test patterns will find you suitable ones to set the brightness and contrast. Alternatively you could buy a calibration disc for this from the likes of Spears & Munsil from the likes of Amazon or another cheaper one is Perfect Picture, either will allow you set both correctly.
Also maybe I ask what is the Iris setting and if this movie is 4K HDR, if so then what have you set the Theatre Optimizer, is it on Low/Mid or High. I did watch this movie but didn’t take any pics from that scene, if you want to compare what some I did take you can check mine
here. BTW these were also took when my N5 was new and before it was calibrated but I did adjust the above settings with my Spears & Munsil disc.
Meant to say if the Blu ray was just 1080P you should also check to see what the gamma setting is, 2.2 gives more shadow detail right on of the box compared to 2.4.