Huddaifa reported:Whenever the Messenger of Allah (ﷺ) got up for Tahajjud prayer, he cleansed his mouth with the tooth-stick

This hadith is reported from Hudaifa by another chain of transmitters. Whenever he (the Holy Prophet) got up in the night, they (the transmitters) have not mentioned the words:for offering Tahajjud prayer

Hudaifa reported:Whenever he (the Holy Prophet) got up for prayer during the night, he cleansed his mouth with the tooth-stick