The run was done on Floppy version 1.02 (the one included in GOG collection). This version has a functionality (probably a bug) that is not present in later versions: if an item that you can potentially lose (i.e. EGG or COCKROACH) is taken out of inventory using the bag icon in upper menu rather than from the right-click menu, this item stays in inventory after being used - this helps to save time with getting extra items.

Also neither using the bombs in World 2 nor putting the crown on the hanging knight in World 5 are necessary to finish the game, so I skip those.