Example of changing Kirki's inline CSS priority to load before all styles.

functions.php

<?php
/**
 * Child theme functions.php
 *
 * @since 1.0.0
 */

// Enqueue kirki generated inline CSS first.
add_filter( 'kirki_config', function( $config ) {
	$config['styles_priority'] = 1;
	return $config;
}, 99 );