Murder in Tarsis: Dragonlance Classics, Book 1 (Unabridged‪)‬

Who killed Ambassador Bloodarrow?
When the Lord of Tarsis finds himself with a politically volatile murder on his hands, he turns to the three most expendable inhabitants of the city of a solution. A mercenary, a poet-assassin, and a thief might not be everyone's first choice for detectives. But they find they're quite good at bringing murderers to justice.

Perhaps a little too good....