Audi A4 99 ADR: Jerky Drive on Petrol & LPG after 10km City Drive, Steady on Cold Engine

It's ok on a cold engine - the car works as it should.

The problem begins after about 10 km of driving in the city - it starts to muddy and jerk when adding gas.
It keeps its 900rpm at idle and doesn't wobble in both cold and warm.
It jerks and behaves exactly the same on gas and LPG.
Interestingly - when I drive on the route and keep the speed steadily - it may not jerk for a good 200km.

Do you have any idea what he might mean?

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Any diagnostics done?
Temperature readings seen by the ECU?

What have you already checked?

Check the composition of the exhaust gases in terms of pb and read the faults. If it is OK on the cold side, maybe the lambda probe has fallen and there is no adjustment of the mixture composition after the engine has warmed up. Adaptation to it comes to max. and the car jerks. And check the rubbers that connect the intake manifold to the head.

I haven't done anything about it yet, I don't even know where to start. I planned to clean the throttle and the flow first, because I would probably be able to do it stubbornly ... I was at the car a moment ago and it turns out that I will not be able to do it, because the hoses are mounted on such funny clamps. But at first glance you can see that one cable is terribly weak and stains soot heavily.

The emphysema was clear, but it was slightly cracked - the exchange did not work. The flow meter is clean.
After recent observations, it turns out that the problem occurs only when pressing the gas quickly in the range of 1500-2500 revolutions. With proper clutch handling and avoiding this range - power loss and jerks can be avoided.

Peasant reason is a throttle, lambda probe, Hall sensor or catalyst

I ignite it.