Submit form with AJAX and PHP without page reload

I have "add to favorite" feature in my wordpress project, I am using <form> to submit the feature. Each time I click on add to fav button it works, but the page is always reloaded which is annoying so I decided to use AJAX, but I can not connect it with my PHP file.

This is PHP file, where I wrote function for the feature

if (! function_exists('favorite_button_icon')) {

    function favorite_button_icon() {
        echo apply_filters( 'favorite_button_icon', get_the_favorite_button_icon() );
    }
}

if (! function_exists('get_the_favorite_button_icon')) {

    function get_the_favorite_button_icon() {

        $output = '';
        $action = $currentPath; // window.location.href
        $name   = is_favorite() ? 'remove_favorite' : 'add_favorite';
        $class  = 'favorite-button-pro' . ( is_favorite() ? ' favorite' : '' );
        $icon = is_favorite() ? 'Added' : 'Add';

        $output .= '<form method="post" id="favorite_user_post" 
                     class="favorite_user_post" action="'. $action .'">';
        $output .= '<button id="submit-favorite" type="submit" name="'. $name .'" 
                     value="'. get_the_ID() .'" class="'. $class .'">';
        $output .= $icon;
        $output .= '</button></form>';
        
        return apply_filters( 'get_the_favorite_button_icon', $output );
    }
} 

And I am just calling that function in html

<div class="add-to-favorites-option" > 
      <?php favorite_button_icon() ?>
</div>

Everything above works, but as I said, page is being reloaded.

This is my attempt to use AJAX

jQuery('#favorite_user_post').submit(function (e) {
    e.preventDefault();
    var form = jQuery(this);
    var url = form.attr('action');
    jQuery.ajax({
        type: 'POST',
        url: url,
        data: form.serialize(),
        success: function (data) {
            console.log(data);
        },
        error: function () {
            console.log('Fail');
        },
    });
});

I get absolutely no fire on submit, am I missing something?

source https://stackoverflow.com/questions/70657216/submit-form-with-ajax-and-php-without-page-reload