The one thing that's not included is retirement. You're entitled to Social Security, which is inflation-indexed with the CPI.
Individual retirement accounts are usually based in the stock market, which has been doing gangbusters -- for those who can afford it. That is becoming unaffordable, and it probably is because of "money printing".
That's where the inflation shows up: asset markets. The increase the money supply but it disappears out of the consumer economy almost immediately. Consumer prices don't go up, but asset prices do.
Because we're encouraging yield chasing in order to lower unemployment.
Look at this post to see how many different measures of inflation there are. Each of these get at different aspects of the economy:
https://econbrowser.com/archives/2021/08/measured-inflation-...
https://econbrowser.com/archives/2021/09/inflation-a-compreh...
As for money printing. Per US law, money cannot be just printed by the Treasury. It must be borrowed from people who already had dollars to lend.
New dollars enter the economy when banks lend money; that is the main engine of new money creation, and it is responsive to the economy. Usually, banks don't lend when its too risky, and businesses don't borrow when it won't lead to profitable growth.
If both of these happen to balance, prices appear to stay the same.
Presumably you'd only get a true number out of something (a) with a fixed amount in circulation, (b) internationally traded, & (c) universally valued. Even precious metals are subject to production costs and industrial consumption.
Which IMO explains why Europeans tend to feel more comfortable even with salaries that, on paper, are significantly lower. The American middle class is getting squeezed by this particular class of costs.
Europeans are comfortable with lower salaries because they believe they're paying taxes for the greater good. That's often not the case.
I speak from experience here and I'm sick of people putting universal healthcare and other European shit on a pedestal.
Now, butthurt Europeans and especially little angry German trolls can start downvoting, but remember, ignore something for too long and it can turn into terminal cancer.