Although the concept sounds good on paper, Dead Mountaineer's Hotel is by no means a good game.
The key hook, the murder, happens too late to really draw you in, and while the mountaintop hotel is pleasant to look at, it is filled with barely noticable items, and can rapidly become a nightmarish maze if you don't pick up the easily missable map at the start of the game.
Puzzle solutions are either esoteric or require scouring the entire hotel for a misplaced item, the best ending requires completing an infuriating mini-game of snooker, and the voice acting and character animations are shoddy (although if you consider the absurb plot twist at the end, these lacklustre performances are all perfectly explicable).
Peter Glebsky (your character) constantly sounds incredulous, although on the plus side, he does vaguely resemble Richard Armitage.
Don't climb this mountain.