Answer
Making Wudhu before intercourse for the second time is preferred, but not necessary.
You should, however, wash your private parts before reentry. (Fataawa Mahmoodiyah vol.2 pg.27)
and Allah Ta’ala Knows Best
Ml. Husain Kadodia
STUDENT: Darul Ifta
CHECKED & APPROVED: Mufti Ebrahim Desai