Thank you very much @Tom J Nowell and @Sally CJ .
As you pointed out, it worked with the below:
function remove_inline_style(){
if ( is_page( 'live' ) ){
remove_action( 'wp_enqueue_scripts', array( Design_Scheme::get_instance(), 'header_style_css' ), 11 );
}
}
add_action( 'wp_enqueue_scripts', 'remove_inline_style');
thank you for your help.