We got the Taliban because the USA armed them against the USSR.

The US never armed the Taliban against the USSR because the Taliban only came about in 1993 or 1994, after the Soviet Union fell and most of the rest of the world largely stopped caring about what happened inside Afghanistan. The US aided certain factions of the mujahideen, but the latter was never a unified group. It was about six major factions (which ranged from secular to theocratic and from multiethnic to ethnically rigid and from tribal to monarchist to representative in nature) and a bunch of minor ones that fought each other from time to time. US aid was funneled through Pakistan, which had significant control over where it ended up. It appears to have primarily helped two of the factions, Hezb-e Islami under Hekmatyar Gulbuddin and Jamiat-e Islami under Burhanuddin Rabbani, though other groups also received support, too. Hezb-e Islami was a radical Islamic fundamentalist group, while Jamiat-e-Islami was Islamist but more moderate and sought wider consensus.

It was Rabbani's faction that eventually took and held Kabul in the post-Soviet fighting against the shell of a government Moscow left behind, and Rabbani took on the role of president in 1992. That didn't make for a stable Afghanistan, mostly because of sectarian and ethnic tensions in a country awash in military equipment left behind by the Soviets and poured in over the prior 13 years by countries that, yes, included the US, but also included Saudi Arabia (which may have spent at least as much as the US) and Pakistan at the high end, China and the UK at a sort of medium level, and several others at the low end. But while US aid stopped, aid from Saudi Arabia (among other MENA states) and Pakistan did not end entirely, especially when the Taliban started to really make their presence known in late 1994. When they took Kabul in 1996, Rabbani fled and most of the world recognized him as the president-in-exile and his UN ambassador as the legitimate representative of Afghanistan. On the other hand, the Saudis were among the first to recognize the Taliban as the new government and to pledge and provide ongoing financial support.

Everyone likes to blame the US alone for what happened after the Soviets left, but equipping the mujahideen was a much broader effort, and almost no one stuck around to really try to help Afghanistan rebuild when they left. Those that did stick around backed the Taliban almost as soon as they arrived.