I’m sorry. You are just wrong. So wrong its not worth explaining it to you.
I suppose you would consider Milton Friedman "just wrong" then. My posted opinion is a summary of his viewpoints on the cause of inflation.
Friedman was scathingly critical of "cost-push" theories as the driving cause of inflation. Friedman stated ,"The reason we have inflation in the United States, or for that matter, anywhere in the world is because these pieces of paper [currency] and the accompanying book entries, or their counterparts in other nations, are growing more rapidly than the quantity of goods and services produced".
Sounds right to me.
The primary driver of monetary expansion leading to potential inflation is loan issues which are unbacked by any real collateral. In the US this starts with bonded debts of the Government and gets amplified by the fractional reserve banking systems.
Higher interest rates do not reduce inflation and they do not cause inflation. They are a result of inflation.