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I think you only need the controller or phone app for setup or config changes. Though it is easier, in my opinion, to just run a controller. You can (at least last time I checked) still self host one if you like. If you’re just doing network config and monitoring, you don’t need much in terms of performance.
I was going to say SNES Mario Kart, but really I think it’s GC Mario Kart: Double Dash.