This war had two major purposes:
- Cutoff Russian natural gas from Europe to a. Force Europeans to buy US natural gas b. Move manufacturing to the US
- Weaken Russia by keeping it in a state of perpetual war
It might had other goals such as taking over Ukraine's natural resources and fertile land for a fraction of the cost but on the main two it succeeded. The other two it is too soon to know.
The US has no intention to end the war swiftly even if it doesn't get to decide that anymore. The EU are mere passengers in all of this.
All what Russia wanted was to honour past agreements not to expand NATO east. If NATO is going to expand east then Russia can't be faulted for wanting a buffer zone.