Did the Kremlin take revenge on Prigozhin?

I really doubt governments engage in vengeance, which is emotional behaviour, whereas governments have by definition no emotions: they are usually ready to do whatever might be in their best interest, but vengeance serves no practical purpose whatsoever except that of satisfying someone's desire to requite for a perceived affront. Thus, I am not sure how likely would it be for the Kremlin to assassinate Prigozhin out of revenge.

Vengeance (or revenge) is the act of inflicting harm or humiliation in return for an injury or other offence received. Definitions vary slightly depending on the dictionary, ...