This distinction is called clusivity and as far as I know no language has a three-way distinction here, having at most a two way inclusive (1 & 3 in your list), exclusive (2 in your list) distinction
The relevant chapters on WALS (a very useful resource for checking things like this) can be found from the corresponding maps here (for independent pronouns) & here (for verbal inflection)
In both maps, the red dots have a clear inclusive/exclusive distinction, whilst the pink dots treat exclusive 1st person plural & 1st person singular to some extent the same (with independent pronouns this means that I only say "we" if I'm including you, otherwise I say "I" even though multiple people are meant, but with verbs it may also include languages with clearly separate number and person affixes). The dark blue dots have no inclusive/exclusive distinction exactly as in English. The light blue dots also lack this distinction, but treat 1st person plural & 1st person singular to some extent the same (as with the pink dots, for verbal inflection this can include languages with separate person and number marking). The white dots fail to fit any of these, either lacking any 1st person plural pronoun (requiring constructions like "you & I" or "him & I", or lacking any person marking
There is also a subchapter to the first of these dealing specifically with the Pama-Nyungan languages of Australia which are famous for having such a distinction. Here only whether a distinction exists (red) or does not (blue) is marked, as the other options are not relevant