It seems the FED did increase base money supply - it's balance sheet size went up by around 3 trillion dollars at the start of 2020 - and bank deposits have subsequently increased quite a lot (M1 and M2 gone up) and this is probably due to the stimulus measures because either way the money ends up in someone's bank account. I think also some of it is probably due to risk averse businesses maxing out their credit lines to get them through the lockdowns... so we'll see an increase in M1/M2 there as well.
So whilst the first part of my original comment was wrong because of the incorrect definitions and reasoning, I think the second part accidentally remains true, in that we should, in theory, start to see inflation increase and from that point you would expect the FED to start removing excess reserves from the system and tightening things up a bit.