I found this video on Twitch which beats this game on Hard in about 28:42.75 - there is a three-second timing difference between the rules on this site and how he timed it, stopping the clock right after the sphinx says to go inside the room with the treasure. It takes three more seconds for the screen to go black afterwards.

https://www.twitch.tv/arkild/video/121951323

Arkild is a user on Speedrun.com, so I was wondering if this time could go up on the leaderboard. It would be ranked a better 4th, with video proof. It did have the restriction that items were not allowed, but it still makes a perfectly valid time here!