How to tell the Animator which mesh/model to animate?

I have a few mesh/models that share an Animator, these will not play simultaneously but since the animator must be on another GameObject I want to know if it is possible to assign the mesh/model that I want to animate.

Although they use the same animator, you can target the animator of the specific gameobject.

By specific name (for one gameobject):

GameObject temp = GameObject.Find("specific gameobject name");
temp.GetComponent<Animator>().setbool("play");

By contained phrase in name:

public List<GameObject> objToAnimate = new List<GameObject>();

GameObject[] allObj = GameObject.FindObjectsOfType(typeof(Monobehaviour));

foreach(GameObject tempObj in allObj){
if(tempObj.name.Contains("certain word in the name"){

objToAnimate.Add(tempObj);

}
}

if(objToAnimate.Count > 0){
foreach(GameObject temp in objToAnimate){

temp.GetComponent<Animator>().setbool("play");

}
}

By tag:

public List<GameObject> objToAnimate = new List<GameObject>();
    
    GameObject[] allObj = GameObject.FindObjectsOfType(typeof(Monobehaviour));
    
    foreach(GameObject tempObj in allObj){
    if(tempObj.tag("tag name"){
    
    objToAnimate.Add(tempObj);
    
    }
    }
    
    if(objToAnimate.Count > 0){
    foreach(GameObject temp in objToAnimate){
    
    temp.GetComponent<Animator>().setbool("play");
    
    }
    }

If they all share the same animator you might want to use a “Animator Override Controller”.