Is it permissible to marry a woman who demands an apartment in her name in exchange for marriage, despite the significant age difference and her acknowledgment that the marriage is for her own interest, and what is the ruling on Mut'ah marriage, what is its concept, and is it permissible according to Sharia?

The existence of an age gap between spouses is common and is not considered a religious impediment or a negative influence unless there is weakness in religious commitment and character, or another impediment that prevents the fulfillment of marital duties. Indeed, the Prophet, peace and blessings be upon him, married women who were older than him and women whom he was older than. As for exaggerating the dowry due to an age gap, there is no prohibition in it, though it is preferable not to. If they agree upon a specific dowry, it must be paid in full. Nikah (definition) mut'ah (temporary marriage) is forbidden, and the rights of the first wife must be preserved, and her companionship honored.