Is it permissible to add the word "Ta'ala" (the Most High) when saying "Al-Salam," so it becomes: (Al-Salam Alaikum wa Rahmatu Allahu Ta'ala wa Barakatuh)?

The word (Ta'ala - Exalted be He) is not mentioned when greeting in any of the Sunnah books. In the prophetic narrations, such as the hadith of the creation of Adam and the angels' greeting, the hadith of Gabriel with Aisha, and the hadith about the increase in good deeds for a greeting, this word is not mentioned. Likewise, in the Tashahhud (testimony of faith), it is not reported that the Prophet, peace and blessings be upon him, added the word (Ta'ala) to the greeting. Therefore, this word should not be added to the greeting.