You seem clueless; The Taliban did not pop into existence until the early 1990s - a good few years after the soviets had left, so NO we had not been arming them. I guess you are getting confused with the mujahideen who we did indeed help regain control of their own country. And let us be very clear the mujahideen are no friends of the taliban. See "Amad Massood" and the current resistance to the Taliban currently held up in the Panjshir valley, and by some accounts both we and the US have special forces currently working with them (how times don't change)
But none of this has anything to do with why we went into Afghanistan in 2001, they were waging war against us by proxy of terrorism and we needed to stop it. We have been nothing other than honourable and have done our best to help the people of Afghanstan establish a better society, but sadly it has become clear we are wasting our time, money and lives.
You seem to speak highly of other Europeans having some boots on the ground but have nothing but criticism towards the UK - Why? Without the UK & the US they would probably still be exporting terrorism. I'm very proud to be British
Afghanistan is not Africa, I seriously doubt you could bribe the Taliban with just piles of cash as it appears happens in Africa. The Taliban are very principled and loyal to their ideals (even if we find their ideals abhorrent), I doubt stuffing large amounts of cash into their personal bank accounts would do it.
I'm still convinced China has very envious eyes on Afghanitan for its 'Belt and Road" (the new silk route) as well as the rich Lithium and other mineral reserves. It will be interesting to see how china goes about it, possibly with aid and infrastucture. But once they get their foot in the door they will want to protect and control their assets, and the Taliban / Mujahidean / Norther Alliance or whatever fraction are yet to appear will find it very difficult to cope with foreign interference. The Afghans are a very proud people and in many respects I take my hat of to them.