Features of mounting the integrated hood without exhaust

Good afternoon, I beg you help, I’ve already tortured everyone with questions, but no one can give an answer. Built-in telescopic hood with recirculation and charcoal filter, kitchen to the ceiling - I want to understand how to mount it exactly inside the cabinet, what happens there? How does air get back into the room? Through what?

Does moisture and heat remain in the closet and does the facades spoil the chipboard? Or do you need to mount the grill as a fireplace type in the facade of the upper cabinet and some kind of metal box and a pipe to be brought in from the hood or just a grill? Thanks in advance for your reply!