Lagged processes are one of the most fundamental concepts in economics. If merely recognizing the possibility that one could be at play here is throwing you for a loop, you need the simplified monetary model more than most.

Where's the hell is the lag on these graphs though!? The money supply grows both before, and after the inflationary spike. (And the fact that it stops increasing when inflation is high is not surprising at all, by the way, high inflation make the central bank raise interest rates, which reduce credit, which is where money comes from).