Why didn’t he rebuke and discipline his son?

Even though father David knew that his son Amnon had done great evil to his stepsister Tamar,

He was furious but didn’t rebuke and discipline Amnon in love.

As a result, Absalom, Tamar’s older brother, hated Amnon

and eventually revenged on him 2 years later (2 Sam. 13:21ff.).

Why didn’t David rebuke and discipline Amnon who did greater evil to Tamar?

Maybe was it because of David’s great sin of sleeping with the married woman Bathsheba

and intentionally kill her husband in order to cover her pregnancy?