None: "...we still carry additional oxygen bottles because of the length of time we would be "stuck" above 10,000."
Never heard of carrying additional oxygen bottles when traversing the Zagros mountain range. For many years I've also been flying over terrain that's a lot higher.
But let's assume that you're at FL350 right smack in the middle of this mountain range, somewhere between Esfahan and Tabriz, whilst you are experiencing this rare event of cabin depressurization. How long do you think it would take you to reach lower [10,000'] terrain? If you're closer to Tabriz it wouldn't take you more than 15 minutes [350Kts descent] to reach the shores of the Caspian Sea, you could then follow the coast and land at GYD [Baku] which is actually below sea level; or if you're closer to Esfahan, it wouldn't take more than 15 minutes to reach Ahvaz, or the Gulf if you wanted to land at KWI [Kuwait].