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If you take it to a car wash soak it with engine degreaser, don't pull the trigger as the water will be too strong.
gently as you go, it should shift the dirt/muck easy enough. You can drive...

Look Under the engine cover , no idea what engine you have so that would be great info.
Anyway I'm thinking that maybe your intercooler is leaking oil over the top of motor and onto turbo.
Needs...