Difference in meaning between "You can be a singer or a dancer" and "You can eit...

Do the sentences "You can be a singer or a dancer" and "You can either be a singer or a dancer" have the same meaning?

If so, the use of the word "either" seems somewhat redundant in this type of sentences.

Can somebody explain this?

I think there's a nuance of difference.

"You can be a singer or a dancer."

doesn't seem to specifically exclude the possibility of being both.

"You can either be a singer or a dancer."

does, in my opinion, exclude that possibility.