add_action( 'woocommerce_before_calculate_totals', 'conditionally_change_cart_items_price', 10, 1 );
function conditionally_change_cart_items_price( $cart_object ) {

    if ( is_admin() && ! defined( 'DOING_AJAX' ) )
        return;


    $targeted_product_id = 1107;

    // Set Here your custom price (1st purshase)
    $custom_price = 100; // First purshase for product ID 1092

    // Detecting if customer has already bought The targeted product (1092)
    if( is_user_logged_in() ){
        $customer      = wp_get_current_user();
        $customer_id   = $customer->ID; // customer ID
        $customer_email = $customer->email; // customer email

        if( wc_customer_bought_product( $customer_email, $customer_id, $targeted_product_id) )
            $custom_price = 0; // Set to 0 for other purchases (product ID 1092)
    }

    foreach ( $cart_object->get_cart() as $cart_item ) {
        // When targeted product is in cart we change the price
        if ( $cart_item['product_id'] == $targeted_product_id ) {
            // Woocommerce 3+ compatibility
            if ( version_compare( WC_VERSION, '3.0', '<' ) )
                $cart_item['data']->price = $custom_price;
            else
                $cart_item['data']->set_price( $custom_price );
        }
    }
}