You should not give away a part of your prayer to Satan by thinking that it is necessary to depart (after finishing the prayer) from one's right side only; I have seen the Prophet (ﷺ) often leave from the left side.
Sahih al-Bukhari Book 10, Hadith 243
← Previous Hadith I offered the `Asr prayer behind the Prophet (ﷺ) at Medina. When he had finished the prayer with Taslim, he got up hurriedly and went out by crossing the rows of the people to one of the dwellings of his wives. The people got scared at his speed . The Prophet (ﷺ) came back and found the people surprised at his haste and said to them, "I remembered a piece of gold Lying in my house and I did not like it to divert my attention from Allah's worship, so I have ordered it to be distributed (in charity).

Sahih al-Bukhari Book 10, Hadith 242 Next Hadith → During the holy battle of Khaibar the Prophet (ﷺ) said, "Whoever ate from this plant (i.e. garlic) should not enter our mosque."

Sahih al-Bukhari Book 10, Hadith 244