> Core PCE includes food (split between line 9 and line 19), and fuel (line 11).

Wrong.

"The "core" PCE price index is defined as personal consumption expenditures (PCE) prices excluding food and energy prices."

https://www.bea.gov/help/faq/518

> Both CPI and PCE are both up slightly in the past year. Both are measures of inflation and clearly indicate slightly higher prices.

Sure, if you consider 1.5% PCE and indication of inflation. By your definition, 0.1% PCE would indicate inflation. But in reality, the target PCE is 2.0%. The numbers that the Fed are using to dictate policy indicate that inflation is not high enough, and yet the evidence of asset inflation is irrefutable.

https://www.bea.gov/data/personal-consumption-expenditures-p...

Why are you trying to spread misinformation? What's in it for you?