Bush's invite of Ukraine and Georgia into NATO in 2007 (against the opinion of France and Germany) was probably a cause of Russian invasion into South Ossetia.

Bush did not "invite" those countries to join NATO. Only NATO can do that, and it famously chose not to do that at the Bucharest Summit the following year (and to explicitly deny those countries invites), precisely because of France and Germany's objections. I'm not sure what you think you can gain here by attempting to spin the situation into the opposite of what it was.

Regardless - the "cause" of what Russian armed forces did in Georgia in 2008 was Putin's ordering them to. Nothing the West did made or "caused" him to do anything.

I can hardly imagine how could Russians be clearer about opposing NATO expansion.

Post-2022 the discussion is entirely moot, and I don't see why the world should begin to care what the current Russian regime thinks about NATO at this point.

NATO expansion was never the real reason for that invasion - but once Putin chose to go in, he completely extinguished whatever moral capital Russia may have had that issue.