(though Jesus Himself did not baptize, but His disciples),
Both Jesus and His disciples were invited to the wedding.
After these things Jesus and His disciples came into the land of Judea. He remained with them there and baptized.
They came to John and said to him, “Rabbi, He who was with you beyond the Jordan, to whom you bore witness, look, He is baptizing, and everyone is going to Him.”
So he commanded them to be baptized in the name of the Lord. Then they asked him to stay a few days.