It would work better with Prozac. There's enough folks that know xanax isn't an antidepressant, and is instead a depressant in one sense, that it falls flat

OP, you might want to choose another medication. Xanax (alprazolam) is a benzo used in the treatment of severe anxiety and includes depression as a potential long-term side-effect. It can sometimes alleviate depression in the short-term, but this likely owes to anxiety's close link with depression. The current evidence for its efficacy as an antidepressant is notably extremely poor:

Alprazolam appears to reduce depressive symptoms more effectively than placebo and as effectively as tricyclic antidepressants. However, the studies included in the review were heterogeneous, of poor quality and only addressed short-term effects, thus limiting our confidence in the findings. Whilst the rate of all-cause withdrawals did not appear to differ between alprazolam and placebo, and withdrawals were less frequent in the alprazolam group than in any of the conventional antidepressants combined group, these findings should be interpreted with caution, given the dependency properties of benzodiazepines.

As the Cochrane review notes, if you're finding that benzodiazepine withdrawal is less frequent than that of traditional antidepressants, the existing body of data is heavily suspect.

I only say this because there are less confusing choices of medication for the joke.

Xanax is not an antidepressant.