While the system may be able to run Windows 11, it will never be officially supported due to the CPU you have.  It's two generations older than required, and cannot be upgraded. If you want a system that officially supports Windows 11, it's time to purchase a new notebook.  
Microsoft says I can't upgrade to Windows 11. This is what I'm working with... Any suggestions?  Thanks! Processor Intel(R) Core(TM) i7-6500U CPU @ 2.50GHz 2.60 GHzInstalled RAM 16.0 GB (15.9 GB usable)System type 64-bit operating system, x64-based processor
What components do I need to upgrade my laptop to Windows 11?