Originally Posted by
safetypee
The question is not posed as being 'legal' or not; more about safety, sensible, judgement, interpretation.
It is a good question, one which had been asked about crosswinds previously and addressed in different ways by manufactures - interpretation and use of gusts.
In general, AFM values are hard certification limits (tailwind - performance), whereas FCOM values are advisory (demonstrated crosswind - operations).
In my understanding The OP asks “are we allowed to takeoff” which is a very specific question pertaining mainly to legality and certification. Then whether this is safe and if it’s a good decision on a specific scenario is another matter, based on many different variables.