Bukhari

Hadith Commentary:
The meaning of "recited lightly" is that in this prayer, you recited very briefly. The purpose of mentioning the hadith here is to establish that on the day of the conquest of Makkah, the Prophet (sallallahu alayhi wa sallam) stayed at the house of Umm Hani (radi Allahu anha).
Regarding the prayer that the Prophet (sallallahu alayhi wa sallam) performed at Umm Hani's (radi Allahu anha) house, Hafiz Ibn Qayyim (rahimahullah) writes in his famous book Zad al-Ma'ad:
ثُمَّ دَخَلَ رَسُولُ اللَّهِ - صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ - دَارَ أُمِّ هَانِئٍ بِنْتِ أَبِي طَالِبٍ، فَاغْتَسَلَ وَصَلَّى ثَمَانَ رَكَعَاتٍ فِي بَيْتِهَا، وَكَانَتْ ضُحًى فَظَنَّهَا مَنْ ظَنَّهَا صَلَاةَ الضُّحَى، وَإِنَّمَا هَذِهِ صَلَاةُ الْفَتْحِ، وَكَانَ أُمَرَاءُ الْإِسْلَامِ إِذَا فَتَحُوا حِصْنًا أَوْ بَلَدًا صَلَّوْا عَقِيبَ الْفَتْحِ، هَذِهِ الصَّلَاةَ اقْتِدَاءً بِرَسُولِ اللَّهِ - صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ - وَفِي الْقِصَّةِ مَا يَدُلُّ عَلَى أَنَّهَا بِسَبَبِ الْفَتْحِ شُكْرًا لِلَّهِ عَلَيْهِ، فَإِنَّهَا قَالَتْ:
مَا رَأَيْتُهُ صَلَّاهَا قَبْلَهَا وَلَا بَعْدَهَا. (Zad al-Ma'ad)
That is, then the Messenger of Allah (sallallahu alayhi wa sallam) entered the house of Umm Hani (radi Allahu anha), daughter of Abu Talib, and performed a ritual bath (ghusl) there and then performed eight units (rak‘at) of prayer in her house, and it was the time of Duha (forenoon).
So, whoever assumed, thought that this was the Duha prayer, whereas in reality, this was the prayer of gratitude for the conquest (Salat al-Fath).
Later, it became the practice of the leaders of Islam that, following the Sunnah of the Prophet (sallallahu alayhi wa sallam), whenever they conquered a city or a fortress, they would perform this prayer after the conquest. And in the story, there is also evidence that proves it was indeed a prayer of gratitude.
That is the statement of Umm Hani (radi Allahu anha) that: "I did not see him perform this prayer before it nor after it."
From this too, it is established that this was a prayer of gratitude on the occasion of the conquest.

Hadith Commentary:
➊
The name of Umm Hani radi Allahu anha is Fakhitah.
And she is the real sister of Ali radi Allahu anhu.
The Messenger of Allah sallallahu alayhi wa sallam had a close familial relationship with her, which is why he performed ritual bath (ghusl) in her house and offered the forenoon prayer (duha).
(‘Umdat al-Qari: 12/274.)

➋
The permanent residence of the Messenger of Allah sallallahu alayhi wa sallam was in the tent of Banu Kinana, where the disbelievers of Quraysh had sworn oaths to persist in disbelief, and it was in front of the valley of Abu Talib, where the Muslims had been confined for a long period as a result of the boycott.
The Messenger of Allah sallallahu alayhi wa sallam did not reside permanently in the house of Umm Hani radi Allahu anha; there, he only performed ritual bath (ghusl) and offered the forenoon prayer (ishraq), then returned to Khayf, where a tent had been set up for him.
This place is also called the valley of Muhassab.
(Fath al-Bari: 8/25.)