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It will be the first time the circuits have held a mixed event since 1999.
Staged over three rounds from 8-10 December for a shared $4m (£3.5m) purse, the event will feature 16 mixed pairs and be played in Naples, Florida.
England's Melissa Reid and Ireland's Leona Maguire will also play - as will 2023's five women's major champions.
Reid will team up with Russell Henley while his fellow American Lucas Glover will partner Maguire.
The 32-strong field includes 11 major champions and, like Hull and Rose, Swedish pair Madelene Sagstrom and Ludvig Aberg were each on the successful European teams at the Solheim Cup and Ryder Cup this autumn.
The last mixed team event held by the PGA Tour and LPGA Tour was the 1999 JC Penney Classic.
