This is what my DA-50 manual says about oil:

"For Break-in, we recommend a petroleum-based oil such as Lawn Boy Ashless or
Pennzoil Air Cooled 2 stroke oil at 32:1 ratio. Run at least 2 to 4 gallons of petroleum
oil/gas mix for break-in. This allows the rings to seat quickly without blow by. Use a
prop that allows peak RPM over 6.500 during the break-in process. Set the High
needle slightly rich during break-in.
After the break-in process, we recommend a high quality synthetic oil. As for brand
of oil, there are many good ones on the market. Some oils, and their mix ratios, that
Desert Aircraft recommends are: Amsoil 100:1 Pre-Mix (100 to 1), Amsoil Saber
Professional (100 to 1), Amsoil 2000 (50 to 1), Red-line (40 to 1), Bel-Ray H1-R (50 to
1). Mobil MX2T (32 to 1) These oils can be found at most motorcycle shops."