I've been playing for a while now with 25lbs on a Sotx Woven 9. Can the AT800De handle that much? for it seems that I saw it can handle only 24lbs
Yes, but you should check with your stringer about warranty issues with respect to stringing above the recommended tension range.
Don't forget that, this is the initial tention because when the string stablizes it will be within the racket's recommended range anyways.