It is confusing to an English speaker because we use the word "both" with two items. We don't use it for two or more.
Why is "Vi liker begge" not correct?
"Vi liker begge" was just accepted for me, on 29 Nov 2019.
"Vi liker bade" not correct?
No, "både" is used in conjunction with "og" when you're referring to two or more different entities:
"både X og Y"
"both X and Y"
And for three or more different entities.
"både X1, X2, ..., X(N-1) og XN"
"both X1, X2, ..., X(N-1) and XN"
Takk for svaret!
Hvorfor ikke begge?