Resolves to number of successful launches of all variants of orbital launch vehicles on Nextspaceflight's Manifest Page.
https://nextspaceflight.com/launches/past/?search=SpaceX
seems to have changed to
https://nextspaceflight.com/launches/?q=&f=agency_1&tab=
in September UTC.

If that page is demonstrably wrong or out of date, then I will either wait for update or a correct source will be decided upon and used as a replacement.

A launch is considered successful if it is outlined in green on the linked manifest page.

Launches outlined with red (failure) or orange (partial failure) will not count as successful.

(Starship is considered an orbital launch vehicle, regardless of true orbit not being demonstrated. Success may well be more of an issue with test flights.)