This hadith has been narrated by another chain of transmitters.
Sahih Muslim Book 3, Hadith 120
← Previous Hadith The Apostle (ﷺ) took milk and then called for water and rinsed (his mouth) and said: It contains greasiness.

Sahih Muslim Book 3, Hadith 119 Next Hadith → The Messenger of Allah (ﷺ) dressed himself, and then went out for prayer, when he was presented with bread and meat. He took three morsels out of that, and then offered prayer along with other people and did not touch water.

Sahih Muslim Book 3, Hadith 121