أعوذ بالله من الشيطان الرجيم

بِسْمِ ٱللَّٰهِ ٱلرَّحْمَٰنِ ٱلرَّحِيمِ

As Salaamu Alaikum Wa Rahmatullahi Wa Barakatuh,

Based on your specific question and information provided.

From the Jurisprudence Perspective: 

Whenever one says or hears the blessed name of His Eminence the Messenger of Allah (Ṣ) – such as ‘Muḥammad’ and ‘Aḥmad’ – or an epithet (laqab) or kunyah(1) of his – such as ‘Muṣṭafā’ and ‘Abū al-Qāsim’ – even during prayers, it is recommended that he recites ṣalawāt.

 

والله العالم‎
(and Allah(awj) Knows best)

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