@Amanda LaFleur got it…. I THINK this is kinda a gray area that depends on how much difference you want to mitigate any confusion between their entity and you as the Sponsor of the project. I personally have done it with something as simple as adding Fund, Foundation, Project, Program, etc. I think that dropping the Inc would be good enough but again I think it depends on your appetite for similarities/differences. The more different it is then the more clear it is that the Project is a different thing than their independent org.. I think the closer it is in name then the higher the risks are of a PD or Advisory Council thinking “they run the show since its their org”
Thats just my two cents.