I created a TAS for this game a few days ago. As of this post, the current RTA record is 3:16 with 1 death. The TAS came in at 2:49 and 0 deaths (only saving 2s on the death I took in the record.)

Some of these room are pretty tight, but there's definitely time to save/pull from in the run if you tried to replicate strats. Hope it helps out someone!