There are several ways to get all WooCommerce Orders for a Customer.
Here you can get all Woocommerce orders for a customer by customer email id.
Use the following code to fecth WooCommerce orders for a customer.
The following code will fecth all orders for a current user.
$customer_orders = get_posts( array(
'meta_key' => '_customer_user',
'meta_value' => get_current_user_id(),
'post_type' => 'shop_order',
'post_status' => array_keys( wc_get_order_statuses() ),
'numberposts' => -1
) );
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