Learn English – Bunch of girls/Buncha girls

Cinderella: "Hooray! We're going to the ball!"

Ugly Sister: "No, we're going to the ball. You're staying home to do the housework."

There's no single generic way to contextualise inclusive/exclusive we/us/our - in the above example, the spoken emphasis makes it clear that although Cinderella uses "we" inclusively, the Ugly Sister is definitely using it exclusively.

In other cases you might need to rely on background knowledge of what makes sense (Cameron says "We want to reduce tax rates"), or it might be implicit through other aspects of phrasing ("We will fight you all the way").

Addressing OP's specific question, the (somewhat more extensive) technical term is clusivity, but we also often refer to the inclusive (or exclusive) we.

I'll also just note that in many spoken dialects, inclusive you can include the speaker - "I like this place! They give you whatever you want!".

Onelook suggested frazzled, which I think is rather fitting.