Arsenal have beaten City outright once in the last 10 matches, on a stoppage time heavily deflected goal at the Emirates earlier this season. City has won 8 games and lost the Community Shield on penalties (again, this season).
Arsenal have beaten Liverpool outright twice in the last 10 matches, losing five times, and drawing three times; they won 3-2 at home in October 2022 and 3-1 at home last month.
Are you sure you have the data to make the claim that you raise your game when you play teams like City and Liverpool? Or is it possible that recency bias might be playing a part in your perception of your team’s mentality?