Use this code to create a new tab on the wishlist setting page.
add_action('wishlist_settings_tabs', 'wishlist_settings_tabs_custom');
function wishlist_settings_tabs_custom($settings_tab)
{
$current_tab = isset($_REQUEST['tab']) ? sanitize_text_field($_REQUEST['tab']) : 'general';
$settings_tab[] = array(
'id' => 'custom',
'title' => sprintf(__('%s custom', 'wishlist'), '<i class="fas fa-hands-helping"></i>'),
'priority' => 95,
'active' => ($current_tab == 'custom') ? true : false,
);
return $settings_tab;
}

Then use this code to generate some options on the newly created tab.
add_action('wishlist_settings_content_custom', 'wishlist_settings_content_custom');
if (!function_exists('wishlist_settings_content_custom')) {
function wishlist_settings_content_custom($tab)
{
$settings_tabs_field = new settings_tabs_field();
$wishlist_settings = get_option('wishlist_settings');
$custom_option = isset($wishlist_settings['custom']['custom_option']) ? $wishlist_settings['custom']['custom_option'] : '';
?>
<div class="section">
<div class="section-title"><?php echo __('Custom tab title', 'post-grid'); ?></div>
<p class="description section-description"><?php echo __('Custom tab details', 'post-grid'); ?></p>
<?php
$args = array(
'id' => 'custom_option',
'parent' => 'wishlist_settings[custom]',
'title' => __('Custom Option title', 'wishlist'),
'details' => __('Custom option details.', 'wishlist'),
'type' => 'text',
'value' => $custom_option,
'default' => '',
'placeholder' => __('', 'wishlist'),
);
$settings_tabs_field->generate_field($args);
?>
</div>
<?php
}
}

Now, add this code to save the custom setting to merge with our default wishlist setting.
add_action('wishlist_settings_save', 'wishlist_settings_save_custom');
function wishlist_settings_save_custom()
{
$wishlist_settings = isset($_POST['wishlist_settings']) ? wishlist_recursive_sanitize_arr($_POST['wishlist_settings']) : array();
$custom_settings = isset($_POST['custom']) ? ($_POST['custom']) : '';
$wishlist_settings = array_merge($wishlist_settings, $custom_settings);
update_option('wishlist_settings', $custom_settings);
}
