So you're implying that NATO providing defensive weapons to Ukraine is the reason Putin invaded? That seems a stretch.
The NATO-US acting from Ukraine possibly attempting to foment "color" revolutions in Russia, NATO missiles on Ukraine soil, an increasingly belligerent leader in Ukraine renewing the push to join NATO and NATO-US arming and training Ukraine troops. These seem to be more likely factors in the invasion.
Given that the "West" has been frothing around the mouth for his ouster (he did once ask to join NATO btw), one could conclude that "He who goes first wins" was a viable strategy for him.