Hello and welcome to the forum.
It would really be helpful if you could tell me what kind of engine you have and what its mileage is

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Okay, so black smoke is already a sign of a lack of air.
Since you're seeing soot formation due to sudden load changes, you can assume that the VTG (Variable Turbine Geometry) is not responding quickly enough.
A smoothly operating VTG (variable transmission gearbox) doesn't necessarily mean it's fully functional. It can still be so dirty that it doesn't work properly.
It doesn't necessarily have to be the VTG (variable turbine geometry), it could also be a vacuum hose or the N75 (pressure sensor).
Sure, here is the translation of the text from German to English:
"MFG" is an abbreviation for "Mit freundlichen Grüßen," which means "Sincerely" or "Best regards" in English.
Passat 3B umbau auf AWX, GT17/20 Hybrid, große PDE, EMS und Sachs Performance.
205PS, 425nm Drehmoment