Stop a animation loop after a certain amount of plays?

There's only one way that I can think of to do this, and there are probably better / more correct ways, but this should work for the time being...

 using UnityEngine;
 using System.Collections;
 
 public class AnimationScript : MonoBehaviour {
     
     public int repeatNumber = 6;
     
     void Start() {
         animation["Your Animation"].wrapMode = WrapMode.Loop;
         StartCoroutine(LoopAnimation());
     }
     
     IEnumerator LoopAnimation() {
         animation.Play("Your Animation");
         yield return new WaitForSeconds(animation["Your Animation"].length * repeatNumber);
     }
 }

So this script basically just creates an IEnumerator function, inside of which it starts the looping animation, and then waits for the number of seconds that it will take to play however many loops that you want.

It is untested and may require some tweaking.

Good Luck