There is no requirement for a church in the US to "give back to the community".
I researched NY nonprofit law and tried to find paperwork. What I found indicated the NY corporations were established so long ago that any paperwork is long gone.
I tried to get tax paperwork but could not. As far as I could tell, they did have to file something every few years with the state and fed, but when I did a request from the governments and wts, I got no reply. At the time, I had found a rule indicating the wts was supposed to provide it upon request, and so was the gov't. You may find the details in my old posts--I don't remember more details.