Catalysis of the reaction: H2O + lauroyl-CoA + oxaloacetate = (2S,3S)-2-hydroxytridecane-1,2,3-tricarboxylate + CoA + H+.
(2S,3S)-2-hydroxytridecane-1,2,3-tricarboxylate oxaloacetate-lyase (CoA- acylating) activity