How to Insert Select from last table auto increment Id

I have two tables as shown here:

I need to insert some data by a stored procedure as below code:

ALTER PROCEDURE [dbo].[DeviceInvoiceInsert]
    @dt AS DeviceInvoiceArray READONLY
AS
    DECLARE @customerDeviceId BIGINT
    DECLARE @customerId BIGINT
    DECLARE @filterChangeDate DATE
BEGIN
    SET @customerId = (SELECT TOP 1 CustomerId FROM @dt 
                       WHERE CustomerId IS NOT NULL)
    SET @filterChangeDate = (SELECT TOP 1 filterChangeDate FROM @dt)

    INSERT INTO CustomerDevice (customerId, deviceId, deviceBuyDate, devicePrice)
        SELECT customerId, deviceId, deviceBuyDate, devicePrice 
        FROM @dt 
        WHERE CustomerId IS NOT NULL

    SET @customerDeviceId = SCOPE_IDENTITY()

    INSERT INTO FilterChange (customerId, filterId, customerDeviceId, filterChangeDate)
        SELECT @customerId, dt.filterId, @customerDeviceId, @filterChangeDate 
        FROM @dt AS dt
END

The problem is that when the procedure wants to insert data into the FilterChange table, the @customerDeviceId always has the last IDENTITY Id.

How can I figure out this problem?

Update Thanks for @T N answer but his solution is just to insert one filter per device, so in my case, there can be many filters per device

Solution

Thanks to @TN, his solution is just to insert one filter per device, so in my case, there can be many filters per device, So I just manipulate the last part to solve the problem. Also the corrected @dt value is like this:

As you can see, there are many filters per device, and All customers are the same because per invoice belongs to one customer so I had to mark the rest repetitive devices with null to group filters per device.

Here is the corrected code, Thanks by @tn:

    -- Example showing MERGE (instead of INSERT) to capture a combination of
-- source and inserted data in an OUTPUT clause.

CREATE TABLE CustomerDevice (
    customerDeviceId INT IDENTITY(1,1),
    customerId INT,
    deviceId INT,
    deviceBuyDate DATE,
    devicePrice NUMERIC(19,4)
)
CREATE TABLE FilterChange (
    customerId INT,
    filterId INT,
    customerDeviceId INT, 
    filterChangeDate DATE
)

DECLARE @dt TABLE (
    customerId INT,
    deviceId INT,
    deviceBuyDate DATE,
    devicePrice NUMERIC(19,4),
    filterId INT,
    filterChangeDate DATE
)
INSERT @dt
VALUES
    (3, 1, '2023-01-01', 111.11, 1, '2023-02-01'),
    (NULL, 1, '2023-01-02', 222.22, 2, '2023-02-02'),
    (NULL, 1, '2023-01-03', 333.33, 3, '2023-02-03'),
    (NULL, 1, '2023-01-03', 333.33, 4, '2023-02-03'),
    (3, 2, '2023-01-04', 333.33, 1, '2023-02-04'),
    (NULL, 2, '2023-01-04', 333.33, 2, '2023-02-04'),
    (NULL, 2, '2023-01-04', 333.33, 3, '2023-02-04'),
    (NULL, 2, '2023-01-04', 333.33, 4, '2023-02-04')

-- Procedure body

    DECLARE @customerId BIGINT

    SET @customerId = (SELECT TOP 1 CustomerId FROM @dt WHERE CustomerId IS NOT NULL)
  
   DECLARE @FilterChangeData TABLE (
        customerId INT,
        deviceId INT,
        filterId INT,
        customerDeviceId INT,
        filterChangeDate DATETIME
    )

    MERGE CustomerDevice AS TGT
    USING (SELECT * FROM @dt WHERE CustomerId IS NOT NULL) AS SRC
        ON 1 = 0 -- Never match
    WHEN NOT MATCHED THEN
        INSERT (customerId, deviceId, deviceBuyDate, devicePrice)
        VALUES (SRC.customerId, SRC.deviceId, SRC.deviceBuyDate, SRC.devicePrice) 
        OUTPUT SRC.customerId,SRC.deviceId, SRC.filterId, INSERTED.customerDeviceId, SRC.filterChangeDate
            INTO @FilterChangeData;

   INSERT INTO FilterChange (customerId, filterId, customerDeviceId, filterChangeDate)
        SELECT @customerId, dt.filterId, fcd.customerDeviceId, dt.filterChangeDate 
        FROM @dt AS dt INNER JOIN @FilterChangeData AS fcd
        ON fcd.deviceId = dt.deviceId


-- End procedure body
      
SELECT * FROM @dt
SELECT * FROM CustomerDevice
SELECT * FROM FilterChange

Result show in, https://dbfiddle.uk/yf7z_wqr