I saved three minutes over the prior record by using X to skip dialogue, a faster means of reloading the game (you can reload after tapping the door), and getting two jetpacks instead of one.

Faster mashing, better jetpack drop RNG, and a bit better movement during some areas could save more time.

(Around 1:58 to 2:01, the recording for unknown reasons dropped the fullscreen recording for a few seconds -- Sorry about that)