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And that's where the dishwasher comes in. Toss things in the sink as you go and no longer need them, eat, load the dishwasher with the sink things + the final dishes to wash, wipe things down and done.
I've found that if you empty it immediately and then put the dirty dishes directly into the dishwasher it's a lot easier to clean up and gets them out of the way.
My flat doesn't really have space for a dishwasher :(
When I move out I'm for sure gonna bump it up the priority list, but that won't be anytime soon
They make small countertop versions if that's an option for you. Many are designed specifically for small apartments so they have non-permanent connections and stuff, mostly using your existing sinks faucet and drain
I've looked into those a little but they seem to be priced similar to larger models. And with the smaller size it won't fit pots, oven dishes etc anyway. Just my plates and some cutlery which is the easiest part, especially as I live alone.
There exist another simplification then. A lot of meals can be cooked once and freezed after. It could be stored for months and warmed in a microwave in 6 minutes. However some products like potatoes should be mashed as otherwise it looses taste