Add item from Fetch API to Array and Displaying new array in React

I'm learning react for the first time, I have an app where it fetches some data from a public API. I currently have it show 10 cards with random items from the API, and I have added a button to fetch a random item from the API and add it to the array, I managed to get the new item added to the array using push() but it does not show in the app itself. How can I make it that the new item is shown in the app as well?

Here is my code

Home.js

import { useState, useEffect} from "react";
import Card from './Card';
const Home = () => {

    const [animals, setAnimals] = useState([]);

    const handleDelete = (id) => {
        const newAnimals = animals.filter(animal => animal.id !== id);
        setAnimals(newAnimals);
    }

    useEffect(() => {
        fetch('https://zoo-animal-api.herokuapp.com/animals/rand/10')
        .then(res => {return res.json()})
        .then(data => {
            setAnimals(data);
        });
    }, []);

    const handleAddAnimal = () => {
        fetch('https://zoo-animal-api.herokuapp.com/animals/rand/')
        .then(res => {return res.json()})
        .then(data => {
            animals.push(data);
            console.log(animals);
            //what to do after this
        })
    }

    return (
        <div className="home">
            <h2>Animals</h2>
            <button onClick={handleAddAnimal}>Add Animal</button>
            <Card animals={animals} handleDelete={handleDelete}/>
        </div>
      );
}

 
export default Home;

Card.js

const Card = ({animals, handleDelete}) => {
    // const animals = props.animals;

    return (  
        <div className="col-3">
        {animals.map((animal) => (
            <div className="card" key={animal.id}>
            <img
                src={animal.image_link}
                alt={animal.latin_name}
                className="card-img-top"
            />
            <div className="card-body">
                <h3 className="card-title">{animal.name}</h3>
                <p>Habitat: {animal.habitat}</p>
                <button onClick={() => handleDelete(animal.id)}>Delete Animal</button>
            </div>
        </div>
            ))}
    </div>
    );
}
 
export default Card;

App.js

import Navbar from './navbar';
import Home from './Home';

function App() {

  return (
    <section id="app">
      <div className="container">
      <Navbar />
      <div className="row">
        <Home />
      </div>
      </div>
    </section>
  );
}

export default App;

Screenshot of what I see now screenshot (I was also wondering how to fix the items going down instead of side by side but wanted to fix the add button first)

Let me know if there's anything else I should add, any help is appreciated, thank you!