I understand MMT is the increase in money supply is accompanied by an increase in taxation and by taking the money back out of the economy slows inflation.
I think the caveat is that politicians can supply money into the economy (increase their chances of re-election), but will be reluctant to raise taxes in an effective way (to not decrease their chances of reelection).
Unless the government burns or locks away the money it taxes - in which case all effects of MMT are muted - it is going to just lead to inflation from government expenditures. There is no way to escape the price impact of increasing the money supply, as prices are always set by supply and demand.