The specification for Bridgestone transmissions is just regular engine oil. Transmission fluid will work, we used it some back in the day. However, with modern engine oils, be careful. Don't use any engine oil that is for "high mileage", low friction, etc. Many of these have friction modifiers that will make the typical motorcycle wet clutch slip (experience speaking). The 350 clutch isn't affected of course, but the 175 clutch is. In the "old" days, we used non-detergent engine oil since it had the fewest additives likely to screw up the clutch and the transmission didn't need the detergents to handle combustion byproducts.