You yourself acknowledged that this is a supply shock; when faced with a supply shortage, you either suppress demand or drive up prices (i.e., inflation)
right? A fundamental principle: supply and demand are two sides of the same coin.
If supply increases while demand remains constant, deflation occurs;
if supply decreases while demand remains constant, inflation occurs.
so what is the problem with the Fed suppressing demand?
Besides, historically, the initial wave of most inflationary episodes has been driven by supply shocks.