The MacBook arrived dead...
You would normally expect a new MacBook to have some charge in the battery.
However, it is not impossible for one to arrive with a flat battery, and need charging.
If it charged up okay, and now works correctly from the battery, then I would not worry.
The part number... MYD82HN/A
The page you link to, "Identify your MacBook Pro model", shows:
Part Numbers: MYD83xx/A, MYD92xx/A, MYDA2xx/A, MYDC2xx/A
From the Apple Menu, select "About This Mac", then "System Report"...
You should see something like:
You can use the Serial Number to check your MacBook, on this page:
https://checkcoverage.apple.com/gb/en/;jsessionid=node01o4ua0xnvvwgv16a1o8styskf02159173.node0