To begin with: there isn’t an i6 cpu.
It would be nice if you tell us what motherboard you are using atm.
The thing is that a not all intel cpu’s will fit on every motherboard.
Furthermore: balance between CPU/GPU/RAM/ MB/ PSU/SSD is key.
In my case: ASUS Z790 plus WiFi motherboard, intel i5 13600K, Geforce RTX 4070ti,
32 GB/ 5200, 1100 Watt PSU, and a 4K 32" monitor.
It has set me back about € 2500 in total a year ago but… you only live once.
In short: upgrading only 1 component is no guaranty for success…