Mubārak

The Prophet ﷺ changed the name Barrah (“pious”) to Zaynab and said, “Do not claim purity for yourselves; Allah knows best who among you is pious” (Muslim 2142). He also forbade naming servants Yasār, Rabāḥ, Najīḥ and Aflaḥ (Muslim 2137). Ibn al-Qayyim applies the same reasoning to Mubārak, Mufliḥ, Khayr, Surūr and Niʿmah. These names are disliked (makrūh), not forbidden.

• Sahih Muslim 2142b

• Sahih Muslim 2137a

• قلت وَفِي معنى هَذَا مبارك ومفلح وَخير وسرور ونعمة

  Ibn Qayyim al-Jawziyyah, Tuḥfat al-Mawdūd bi-Aḥkām al-Mawlūd, vol. 1, p. 116 (ed. ʿAbd al-Qādir al-Arnaʾūṭ, Maktabat Dār al-Bayān, Damascus, 1391 AH)

General guidance, not a fatwa. Ask your imam about your own family.