Do the three hadiths mentioned below refer to one story with differences in wording? And how can one reconcile the second narration, which prefers praying Tarawih at home, with the third narration, which indicates that it is better to pray it in the mosque?

The Hadith (definition) of Abu Dharr concerning the Prophet's (PBUH) night prayers during i'tikaf in the last ten days of Ramadan (definition) differs from the Hadiths of Aisha and Zayd ibn Thabit, which might be one story or more. As for the question of preferring Tarawih prayer in congregation in mosques or individually at home, scholars have differed on this. Some preferred praying with the Imam (such as Ibn al-Mubarak, Ahmad, and Ishaq), while others preferred praying individually for the one who recites (such as al-Shafi'i). Al-Tahawi explained that the Hadith of Abu Dharr indicates that praying an entire night is recorded for whoever prays with the Imam and leaves when he leaves, whereas the Hadith of Zayd ibn Thabit suggests that praying at home is better, so that the two Hadiths do not contradict each other. This is supported by Umar's preference for the prayer that people sleep through in Ramadan after gathering them behind a single reciter.