Actually, we don't learn. Otherwise we'd have stayed out of Afghanistand this time.
Furthermore, I am told that those silly red uniforms actually made it harder for enemy scouts to get a good estimate of troop numbers from any kind of distance. Perhaps they weren't as silly as the white ones the French used to wear.
As for handing us our butts back ... twice ... it was only recently that I had to remind you (1) that the French and the indians won your little revolution for you, while the treacherous woodmen who had turned on their own kin just tagged along for the reflected glory and (2) the Canadians won the war of 1812 as the Americans tried to turn their northern cousins against the homeland again. Canada understands the true meaning of loyaly, however. That's why Canada fought in the two world wars last century from the beginning instead of waiting till it was virtually over, and then moving in to pick up the victory.
Meanwhile, although the French won a minor victory in America, we took them apart in every other theatre of that global war, as well as defeating the Dutch, the Russians, the Swedes and the Spanish. So, while it hurt to lose the 13 colonies, it's to be expected if you only send your least competent officers. And it didn't amount to much when you look at the big picture. Plus we did get all of the French Canadian possessions to make up for the loss. So, well done you ...!