T>N and issue of hetero, auto, CSD and possible "endogeniety"

[ASAD NAQVI]

I have a very important issue, and your help will mean a lot. I have N=5, T=31. I found hetero, auto, and csd in my data and I applied the PCSE model. I got comments that one of my independent variables could be correlated with the error term (or, in simple case there is chance of endogeniety). as i know GMM estimator is applicable for N>T and it cannot dela with CSD.
under these scenarios, can you please suggest me any other methodology which can handle all of the 4 issues as I mentioned earlier. thank you

Regards,
asad Abbas

[ASAD NAQVI]

Carlo Lazzaro please

[Carlo Lazzaro]

Asaq:
I an not aware of any Stata module for dealing with endogeneity in T>N panel datasets.

[ASAD NAQVI]

thank you professor!

[Carlo Lazzaro]

Asad:
Carlo is enough. Thank you.