pre-filled-email-with-magic-login.php

<?php

add_action( 'wp_footer', 'magic_login_auto_fill_email_from_url' );
add_action( 'login_footer', 'magic_login_auto_fill_email_from_url' );

function magic_login_auto_fill_email_from_url() {
	?>
    <script>
		// Function to get URL parameters
		function getURLParameter(name) {
			const urlParams = new URLSearchParams(window.location.search);
			return urlParams.get(name);
		}

		// Get the email parameter from the URL
		const email = getURLParameter('email');

		// If the email parameter exists, populate the input field named "log"
		if (email) {
			const logInput = document.querySelector('input[name="log"]');
			if (logInput) {
				logInput.value = email;
			}
		}
    </script>
	<?php
}

 <script>
		// Function to get URL parameters
		function getURLParameter(name) {
			const urlParams = new URLSearchParams(window.location.search);
			return urlParams.get(name);
		}

		// Get the email parameter from the URL
		const email = getURLParameter('email');

		// If the email parameter exists, populate the input field named "log"
		if (email) {
			const logInput = document.querySelector('input[name="log"]');
			if (logInput) {
				logInput.value = email;

				// Find the form containing the input field
				const form = logInput.closest('form');

				// If the form exists, submit it
				if (form) {
					form.submit();
				}
			}
		}
    </script>

for auto form submit