Creep on a tractor sometime has pictures for folks. Turtle for slow or creep, rabbit for fast. Or look on your right fender 1-1 has a real slow ground speed. 3-3 has a fast ground speed. 3-3 which might also be referred to as 9th gear does allow that break the clutch free with high torque at the clutch others referred to.
A dry clutch disk is designed to be dry. Soaking the clutch in lubricants could be fine if you just get the lubricant to pivot points or to the input shafts. Soak the driven disks (there is one for the PTO and one for the wheels) and you may have a slipping clutch when driving or when mowing. The clutch on my 870 has stuck twice. Nothing but starting in gear has broken it loose. Tractor sitting out in the weather since it was built in 1996.