I don’t know why you’re being downvoted, that’s the account. It probably didn’t happen, but it made a great story. The greediest, richest man in Rome bought an army and was made to drink what he craved most when he failed. Poetic justice.
Side note, Crassus was an experienced military man who fought under Sulla, and put down Spartacus’ rebellion. But he was no general, treated legionnaires under his command with brutal discipline, even using the mostly outdated decimation (if a unit failed, or dishonored themselves, they were forced to beat every tenth man in the unit to death as punishment. )
The only reason he invaded Parthia was that he was envious of Pompey and Caesar’s respect amongst the plebes (common citizens, i.e. peasants.) Military conquests were a sure way to gain respect in Roman culture, and to amass fortunes in slaves and booty.