grandmas name for daughter?

Noemi • Proud FTM to my beautiful baby girl Melanie Jazmin
My SO and I have decided on the name Melanie Jazmin for our daughter but recently his grandmother came and she is very sick my SO says she doesn't have too much time left. She wants our daughter to be named after her, so I'm wondering if 3 names is okay? They're not too common but would it be too much to have 3 names? I really want to keep the other two and at the same time accept his grandmothers name which is a Greek name so full name would be Melanie Eusebia Jazmin. I haven't met anyone with that name but I'm willing to have it. What do you think???