Which oil do I need for my k12?

Sorry this might be a silly question and have been done a lot but still not sure. Checked the dipstick on my 2008 k12 and looks like I might need to top up the oil soon. The manual says 5w30 but should I go semi synthetic or fully synthetic? (I don’t know what’s in the car already) Some people seem to use 10w40 also (I did in my previous 2004 model as a mech recommended it at the time so not sure what’s best) As I don’t know what’s in the car would it matter if what I put in was different to what’s already in it and they mixed. Any particular brand any good? Thanks
 
The lower figure (5) relates to cold weather performance the higher one for warm weather . 10w40 would be fine as to which one , the best you can afford up to Mobil 1 and do a full change.
I would use semi-synthetic as a minimum but use full synth on all my cars and bikes.

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