I adore lots of Greek names and really appreciate the meaning and concept behind this one but I can’t get past how it looks. It looks like the word for the expression of mouth wide open. Maybe the spelling could be changed to
Agapi, but that perhaps changes it too much?
Aggie would be a natural nickname.
I don’t know, people have acclimatised to
Penelope,
Persephone and
Phoebe and others, maybe
Agape can follow suit? It makes a lovely meaningful middle name though.