PTH08T260W is rated 3A. It can handle it at 85°C with convection only.
Its overcurrent threshold is 5.5A (typical, no min nor max stated).
We would load this module with up to 3.5A. I suspect no problem at 40°C but I can't extrapolate any derating for high operating temperatures. We could go as high as 70°C.
Do you have any data on this use case?
Regards,
Frederic P.