My sources Are showing that U.S. inflation and global inflation are correlated, and in particular between advanced economies. If you want more details you can check by year, country, type of economy, etc...here
https://www.imf.org/external/datamapper/PCPIPCH@WEO/OEMDC/ADVEC/WEOWORLD/USA/FJI
I have also shown that the U.S. WTI oil index has been always correlated with Brent and OPEC over time.
Now if you are not able to understand how a globalised economy works, and if you are also not able to understand how wholesale crude oil markets work, there's not much I can do for you! 😃
About the Putin's war part, please show me the post where I mentioned it. I did not.