Moon Zappa and "Matchbox Twenty" drummer Paul Doucette just finalized their divorce ... and they agree on one thing ... their daughter will live like a glamorous Hollywood princess.
According to their divorce docs ... 9-year-old Mathilda will get the standard celeb kid trappings -- private schools and music lessons -- but Moon and Paul also signed off on ... "photo or video shoots for Mathilda's career."
Also ... they've agreed to never allow her to be "baby-sat by a hotel baby-sitting service, fun rooms or the equivalent."
The docs show Doucette will pay Zappa $8K a month in spousal support for the next 5 years ... and another $6K a month in child support.
Plus, they'll split the money Paul made from more than 50 songs he's written or co-written -- including "Matchbox Twenty" gems ... "If You're Gone" and "How Far We've Come."
Sappy adult contemporary -- supporting famous kids since 2014.