it wasn’t working because of (Elementor Header & Footer Builde) it’s modifying the footer.php page on the theme so none of its content is loading including “woodmart_cart_side_widget” hook .
So i set the footer (Display On) value to the default (select) in (Elementor Header & Footer Builde) plugin
and but the footer short code in the theme footer settings as a short code for the (Prefooter content)
it worked but when clicking on the add to cart button it take longer time .
So the final solution for me was to deactivate the (Elementor Header & Footer Builde) and create the footer directly from elementor templates page “Footer type”.
all good now.