First of all, belated Merry Christmas

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My T4 is having trouble starting.
Engine: 2.4L naturally aspirated diesel, model AAB.
120,000 km, 78 hp, immobilizer.
The glow plugs (and the fuse) were replaced and are working. The fuel injection timing was checked and adjusted by a workshop. The diesel filter has also already been replaced. All of this without success

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In the morning, I have to crank it for a while before it starts, and it sputters when it does. When it's warm, it starts immediately if it's only been off for a short time.
It's also strange that: Even when it's warm, if it sits for half an hour, it still takes 3-5 engine revolutions to start.
Otherwise, the engine runs completely normally, sounds healthy, uses very little oil, and has full power.
My suspicion:
'While the engine is idle, diesel fuel flows back into the tank. When starting, the engine needs to draw diesel fuel from the tank first. Could it be that air is being drawn in through the actuation shaft of the injection pump while the engine is idling? Isn't there some kind of anti-return valve installed on the diesel filter?'
Could it be that the electromagnetic shut-off valve is sometimes stuck? Unfortunately, I can't easily access it because there's a black cover over it, and the pipes are in the way. (I think this might be related to the immobilizer system).
I am grateful for any advice!
Regards,
Jürgen.