There are several ZDDP/zinc additives that are recommended, through at least your first oil change, for flat tappet cammed engines. I, personally, would keep running the additive right on through the 5K mile mark, for safety assurance. Some folks suggest using diesel engine oil or a racing oil, such as Schaeffer, Royal Purple , Joe Gibbs, etc, that are labeled "For Off Road Use Only" that still have the ZDDP in them. The recommendation seems to indicate using these oils for the long term. A bit pricey, though!
My $.02,
Gene