If one takes a ghusl and intends both minor and major ritual purity, then touches his private parts, is his wudu' valid?

Question:
Honorable Shaykh, may Allah grant you success, he says: If a person takes a ghusl and intends both minor and major ritual purity, then touches his private parts, is his wudu' valid?

Answer:
No, he is required to repeat the wudu'. His wudu' is invalidated if he touches his private parts directly with his hand, so he must repeat the wudu'. As for the ghusl, it is not invalidated.