In my experience, if you need to top up the coolant, you'd be best to bleed it. It only takes a few more minutes, requires only a screwdriver, and it'll give you piece of mind that the system is filled correctly. Just my $0.02 worth...
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2003 E53 3.0i
DOB 10/15/2002
Sienna red, Savannah Beige Dakota leather
Type FA53, Engine M54B30
2018 G02 30i
DOB 4/21/18
Black Sapphire Metallic / Canberra Beige Vermasca leather
Engine B46O