Thanks for your quick response!
Yes, I am using lots of layouts on a single flexible content group that is what causing issue.
I have 3 different env. like local, stage and prod. In my stage site sometime it is needed to edit the field group for that when i started syncing the group then it throws timeout error.
Surely, i will try to use this clone alternate solution to do this job but ultimately the problem is still there when we go through normal sync process.
Thanks!!