Inflation in the CPI does include housing but it basically tracks rents more than actual home prices. The PCE also tracks housing but IIRC it weights housing much lower than the CPI does like 20% versus 40%.
I'm not disagreeing with you that inflation is bad. Anecdotally
A NY strip streak entree at the restaurant i go to every Thursday just rised from $36 to $42.Chicken Wing prices have risen at least 20% at every restaurant in my area
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