Thank you for all those insights.
In fact, I would avoid taking off with a tailwind, but if it cannot be avoided, then, as Captain Claret wisely said, ailerons are for roll control!
You use the tiller (is that right? I mean using the nose wheels orientation) , at the start of the take off roll, then remember that what is important is acceleration, to V1 and Vr...putting weight on one main landing gear by using ailerons is not, I beleive, a good idea, especially as the wind is "light", by the topic"s description. Use slight rudder inputs afterwards to keep the airplane centered, and rotate with the ailerons still neutral. I am always surprised to find that now, everything needs to be written and explained, when in fact, there are so many different conditions which cannot be all adressed. It is, in fact, state of the art piloting...I learnt by looking at (and admiring...) how the old hands did it, then later shared it with the younger ones...No need to cut entire forests to write that in the SOPs...