In traditional Australia Tea meaning Tea the drink .. vast quantities have been consumed here, at least until the rise of the coffee shop - but the main thing is water is mostly boiled before drinking - flavour added.
It was once universal custom in Australia to offer either tea or a beer when someone arrived - rehydration in a hot country is a thing to do.
"Have you finished that drink yet" - depending on inflection it's either an offer of another or a strong cue to hit the road.
"Tea", meaning 'dinner', I presume.