Hiya
May I ask is yours stop start please as if not indeed u will have just the one battery
With the new battery has that been fully charged and was the BMS reset plse , also can u see on ur invoice what make of alternator and battery that was fitted plse as very important , along with where the earth leads were replaced
Personally would always be very cautious jump starting these vehicles , just in case u cause a spike , as read others that have done it and caused damage to some modules etc , not always but on the side of caution
For my D3 I have a CTEK battery charger along with a GB50 NOBO jump pack, as there a lot more stable than jump starting from another vehicle
Would first test the battery with the engine off using a multimeter , should be around 12.6 Vdc , if u haven’t pop down to Halfords etc as can then get it fully checked out to ensure the battery and alternator are working correctly
Another very good thing to have is ur own code reader , they pay for themselves very quickly and invaluable seeing there full of electronics
I’ve got a gap iid which does virtually everything ur ever need, alas are around £450 but worth every penny , next is a basic one called an AUTEL AP200 , white , have to be careful as not all of them are equal , if u do wish to get one I can find a suitable link for u, they are around £70 but again basic but will provide u with fault codes along with clearing them, very handy to keep in ur glovebox
Hope that gives u a starting point