What kind of paint and texture is this? And how do you patch this area?
it looks like an older product called rockote.  its basically a polymer modified brick mortar thats used as a non EIFS stucco finish.  i think they still sell it in australia, but you can ask at your local old school lumberyard.  the old guys there will know what it was and suggest a replacement.  if you can't find one, you can use dyna ceraflex 610, but not the 620