Your first type (treasury) isn’t usually called inflation, AFAIK.
That’s a metric more widely referred to as ‘money supply,’ and it has a number of different types even within that (M0, M1, M2, etc), depending on if you’re talking about simple cash, bank deposits, and other liquid assets. https://en.wikipedia.org/wiki/Money_supply#Measures_of_money_supply
Awww, the tiger-coyote thinks he’s a stegosaurus.