I don’t believe the war specifically drove the Fed to raise interest rates. Inflation and asset prices have risen sharply a year prior to the war.
Russia's invasion of Ukraine however caused a whole bunch of economic inputs like energy and fertilizer to spike, and central banks world wide didn't want economies to "get used to" constant high inflation rates, causing a perpetual problem.
But instead all the productivity workers just switched to their home office and things just kept working. The stimulus should have been shut off in early-mid 2021 when this was abundantly clear. But the government let it run because people were so jubilant in the money shower.
That was not entirely true.
Trump’s pandemic spending (lockdowns, vaccines…), and subsequently Biden’s, but most importantly the curiously named Inflation Reduction Act were obvious drivers. You can’t stimulate an already overheated economy to the tune of 2 trillion without getting Larry Summers a bit worked up.