agr valve exchange 400€???

Hey, my vw lupo is just standing in the workshop because he jerked and flashed the yellow engine control light. Öamtc then read out the board computer and then it would appear that the agr valve has to be replaced / cleaned. So I commissioned the workshop to clean agr valve or if necessary to change it. Today I am called, the agr valve is replaced = 200€ material + 200€ work… But he still does jerk. The gentleman from the workshop thinks that the ignition coil is short from a cylinder and therefore he is jerking. Is this a reasonable price for the agr valve? Does it seem quite expensive and wv. it will cost me or should it cost to change the ignition coil? Mfg. Jonathan lupo