No Animation on multiple GLTF model dynamically loading in react three fiber?

Hi I am trying to build a demo, where I can load multiple clones of the same animated model into react three fiber on demand:

Only the last added Model is animated! Why?

import React, { useRef, useEffect } from 'react';
import { useFrame } from '@react-three/fiber';
import { Clone, useGLTF } from '@react-three/drei';
import { AnimationMixer } from 'three';

const DynamicModel = React.memo(({ url, position }) => {
  const { scene, animations } = useGLTF(url);
  const mixer = useRef(new AnimationMixer(scene)).current;

  useEffect(() => {
    if (animations.length > 0) {
      const action = mixer.clipAction(animations[0]);
      action.play();
    }

    return () => action?.stop();
  }, [animations, mixer]);

  useFrame((_, delta) => {
    mixer.update(delta);
  });

  return <Clone object={scene} position={position} />;
});

export default DynamicModel;

Now a manager for the Modesl to add:

import React, { useState, useCallback, useEffect } from "react";
import { Canvas } from "@react-three/fiber";
import DynamicModel from "./DynamicModel";
//import { uuid } from "uuidv4";

function ModelAdder() {
  const [models, setModels] = useState([]);
  console.log("render ModelAdder");

  const handleKeyDown = useCallback((event) => {
    if (event.key === "Enter") {
      setModels((models) => [
        ...models,
        {
          id: Math.random(),
          url: "/models/AnimatedModel.glb",
          position: [Math.random() * 5, 0, Math.random() * 5],
        },
      ]);
    }
  }, []);

  useEffect(() => {
    window.addEventListener("keydown", handleKeyDown);
    return () => window.removeEventListener("keydown", handleKeyDown);
  }, [handleKeyDown]);

  return (
    <group>
      {models.map((model) => (
        <DynamicModel
          key={model.id}
          url={model.url}
          position={model.position}
        />
      ))}
    </group>
  );
}

export default ModelAdder;

Then I use in my Canvas. Everytime I hit Enter it adds a new Model (cloned) - but the animation is not played! How can I force it to play the animation? And also is there a way that when I add more models (Enter key in this example) that not the whole models.map is rerendered?