How do I group my table information to two groups

DECLARE @invoice TABLE(payment_mode VARCHAR(30), cash_amount DECIMAL(8,2), card_amount DECIMAL(8,2))

INSERT INTO @invoice(payment_mode, cash_amount, card_amount)
VALUES('cash', 500, 0), ('cash', 255, 0),
('card', 0, 1500), ('card', 0, 299),
('cash', 111, 0), ('cash', 222, 0),
('card', 0, 88), ('card', 0, 77),
('cash and card', 200, 300), ('cash and card', 300, 200)

;WITH CTE AS
(
	SELECT *
	FROM @invoice
	WHERE payment_mode <>'cash and card'
	UNION ALL
	SELECT 'cash', cash_amount, 0
	FROM @invoice
	WHERE payment_mode ='cash and card'
	UNION ALL
	SELECT 'card', 0, card_amount 
	FROM @invoice
	WHERE payment_mode ='cash and card'
)
SELECT C.*, CASE WHEN C.payment_mode = 'cash' THEN 'CashBill' ELSE 'CardBill' END AS BillType 
FROM CTE AS C