Vue Change URL without Reloading

<!DOCTYPE html>
<html lang="en">

<body>
    <div id="app">
        <h3>Vue Js Change/modify URL without reloading the page</h3>
        <button @click="updateURL">Change URL</button>
        <div>
            <p>{{ url }}</p>

</div>
    </div>
    <script type="module">
        const app = new Vue({
            el: "#app",
            data() {
                return {
                    url: ''
                };
            },
            mounted() {
                const initialURL = window.location;
                this.url = `Current Url:  ${initialURL}`
            },

methods: {
                updateURL() {
                    const newURL = '/new-url';
                    window.parent.history.pushState({}, '', newURL);
                    const changedUrl = window.parent.location;
                    this.url = `Changed Url:  ${changedUrl}`

}
        });
    </script>
    <style scoped>
        #app {
            text-align: center;
            padding: 20px;
        }

h3 {
            color: #333;
            font-size: 24px;
            margin-bottom: 10px;
        }

button {
            padding: 10px 20px;
            background-color: #007bff;
            color: #fff;
            border: none;
            cursor: pointer;
            font-size: 16px;
            border-radius: 4px;
            transition: background-color 0.3s ease;
        }

button:hover {
            background-color: #0056b3;
        }

div {
            margin-top: 20px;
        }

h1 {
            font-size: 32px;
            color: #333;
            margin-bottom: 10px;
        }

p {
            font-size: 18px;
            color: #555;
            line-height: 1.5;
        }
    </style>
</body>

</html>