Regarding the bleeding procedure here's the procedure from the service manual, which I've found to be working so far.
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Have you considered doing a timing chain and tensioner replacement when you are changing the water pump? You have to remove the timing chains in order to replace the water pump, so no better time to do it. But if they have been changed recently (within the last couple of years) then just replace the water pump.

BTW, you can find the factory service manuals here: https://sl-i.net/FORUM/showthread.ph...-Model-USDM-EU