What is the validity of linking the word "Amen" (Ameen), said after Al-Fatiha, with the name of the Egyptian pharaoh "Amun," and how does Islam respond to the claim of revering the name of a pharaoh in prayer?

The meanings of words in any language can only be understood by its native speakers. It is not permissible to judge the words of one language based on the meanings of another language merely due to phonetic similarity. The Arabic word "Amen" (آمين) means "O Allah, answer my prayer for me" or "So be it," and has no relation to the Pharaoh "Amun." It is advisable to avoid associating with and engaging in dialogue with people of disbelief and misguidance, especially if the other party is a male speaking to a woman.