My name is Azeen and here on the site you can see it listed as a variant from the name Adeen which means rightious.
You can also see it listed as a Persian girl name meaning adornment.
In Dutch spelled as Asien, it means pine tree, and spear.
I have no heard of the name Muntaza, but I did find sound alike boys and girls names on this site like: Muntasaf, Muntazir, Muntasirriyah. And Muntaha and Sidratul Muntaha are also on this site, and it is the name of my mother in law, who’s son is named Mansoor…I thought that was a funny coincidence to share with you.
I will pray that your family and new daughter is happy and healty.