While it's true that MS may ultimately up the requirements for Windows 11 to an 11th gen CPU, which is has publicly stated recently (and for that, you'd need a completely new system -- there's no way to upgrade what you have that far), right now, there's no reason your current system cannot run Windows 11 24H2.  

Windows 11 24H2 is a major upgrade that has its issues as such -- but if the upgrade isn't working, the system should run it fine if you start fresh with a clean install of it.  It should install and run fine.

The bottom line is that you will need to consider a new system sooner rather than later -- the upgrade path for these systems is not good.

I would recommend sticking with 23H2 for now, as ejn63 pointed out 24h2 has too many issues in comparison that are still being fixed / addressed.

My system is being offered to go from win10 to win11 23h2, by example ... 24h2 is not offered because not considered as stable in comparison.