The above mentioned tradition has also been reported by Jubair b. Mut’im through a different chain of narrators. This version adds:
I head the Prophet ﷺ uttering (all these supplications) in a supererogatory prayer; he narrated the tradition in a similar manner.

حَدَّثَنَا مُسَدَّدٌ، حَدَّثَنَا يَحْيَى، عَنْ مِسْعَرٍ، عَنْ عَمْرِو بْنِ مُرَّةَ، عَنْ رَجُلٍ، عَنْ نَافِعِ بْنِ جُبَيْرٍ، عَنْ أَبِيهِ، قَالَ سَمِعْتُ النَّبِيَّ ﷺ يَقُولُ فِي التَّطَوُّعِ ذَكَرَ نَحْوَهُ .