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.
Reference: Sahih al-Bukhari 852 In-book : Book 10, Hadith 243 USC-MSA web (English) : Vol. 1, Book 12, Hadith 811 (deprecated)
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