No. An OR statement does not imply that it is all at once. That is an AND statement.
In fact, in speech and writing, an OR statement is also often exclusive; i.e., it implies that it is not two or more of the terms at once. This isn't the case here, but your conclusion is still fallacious.
In fact you're clueless. I can use ANY of the following: friend, associate, business partner.
What is your native language?
If I define a wubble to be a bubble or a flubble, I cannot assume that a wubble is a bubble and a flubble. I also cannot assume that a wubble is a bubble, nor can I assume that a wubble is a flubble. This is the magic of OR.
You cannot just simply use ANY of the options you listed; there is uncertainly as to which one it is. It is therefore impossible to prove that "friend" is correct from the given definition.