Should I use ultra thin recessed lights on this ceiling (pic)?

Isa
by Isa

So i have exposed ceiling in my house, the living room doesnt have a light for some reason and i will like to add one, i would love to have recessed lights but i don’t know if there is gonna be enough space in there. i’m attaching a picture showing how thin is the space, the carpet is in the upstairs floor . I found this ultrathin recessed lights and i would like to know if anyone has an opinion. thank you

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