Write SQL query to solve given problem: Among the NBA winning coaches, which are from STL team? Please list their coach id.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT DISTINCT T2.coachID FROM coaches AS T1 INNER JOIN awards_coaches AS T2 ON T1.coachID = T2.coachID WHERE T1.tmID = 'STL' AND T1.lgID = 'NBA'