Ruling on touching the private parts after ablution and before the full ritual bath

Question:
Does one perform the ablution before performing the full ritual bath, when one might touch his private parts for cleaning?

Answer:
What he touches, if he cleans himself, he does not touch his private parts, that is the end of it. If he cleans himself and washes it with the intention of purification, that is the end of it. But if he washes what is around it, and wipes his hand over what is around it... it does not harm him.
Q: Meaning: he performs the ablution, meaning: before performing the full ritual bath, he starts with the ablution?
A: ... Yes: then he performs the ablution for prayer.