1. Russia didn't invade Georgia. There are 2 separatist regions in Georgia that Georgia decided to get back (or something) using tanks. Georgia sent tanks and their army to shoot/suppress separatist civilians! Russia merely stopped that bloodshed and didn't proceed further into the Georgia (though after that incident it not just could do so, but quite many would say had a right to do so).
2. if Russia didn't annex (peacefully, btw, without a single shot and with a referendum) the Crimea - Ukraine then wouldn't have territorial disputes that would block them from joining NATO... just silently and in surprise to Russia.
The possible war then would start immediately between Russia and the whole NATO block.
Would you like your (I suppose you live either in U.S., Canada, U.K., Australia or in Europe) cities receiving some nukes instead of a special operation in Ukraine?
That literally didn't happen. Ukraine and Georgia sought NATI membership, and in the 2008 NATO summit were (largely at Russia’s urging) rebuffed from being given Membership Action Plans; Russia immediately invaded Georgia, and Ukraine abandoned pursuit of NATO membership.
Then, in 2014, the Ukrainian people threw out the pro-Russian leadership that had come to power in the interim. Russia invaded large swathes of the country and, after that, Ukraine’s government again started seeking NATO membership.
There were no approaches by either side being made before the invasion. Pro-Russian propagandists like to pretend the 2022 escalation was the initial Russian invasion, ignoring most of the time the war has been being fought, so that they can blame the war starting on Ukraine’s response to the invasion by which Russia actually started the war.