Do multiple UPDATE using CTE - postgresql

Question

I'm trying to use a CTE to do two update statements in Postgres and I'm not sure if there is a better approach to what I'm trying to do.
-- This script will update user records where the duplicate record value will overwrite the old value
WITH
update_users_Cte
AS
(
SELECT
new.id new_user_id,
old.id old_user_id,
new.employee_id new_employee_id,
old.employee_id old_employee_id,
new.display_name new_display_name,
old.display_name old_display_name,
new.first_name new_first_name,
old.first_name old_first_name,
new.last_name new_last_name ,
old.last_name old_last_name,
new.phone_number new_phone_number,
old.phone_number old_phone_number,
new.job_type new_job_type,
old.job_type old_job_type,
new.department_id new_department_id,
old.department_id old_department_id
FROM users old
JOIN users new ON (CONCAT(0, new.employee_id) = old.employee_id)
WHERE LENGTH(new.employee_id) = 5 AND
new.display_name != old.display_name OR
new.first_name != old.first_name OR
new.last_name != old.last_name OR
new.phone_number != old.phone_number OR
new.job_type != old.job_type OR
new.department_id != old.department_id
)
UPDATE
users
SET
phone_number = NULL
FROM
update_users_Cte
WHERE
employee_id = update_users_Cte.new_employee_id
UPDATE
users
SET
display_name = update_users_Cte.new_display_name,
first_name = update_users_Cte.new_first_name,
last_name = update_users_Cte.new_last_name,
phone_number = update_users_Cte.new_phone_number,
job_type = update_users_Cte.new_job_type,
department_id = update_users_Cte.new_department_id
FROM
update_users_Cte
WHERE
employee_id = update_users_Cte.old_employee_id
This is the error:
ERROR: syntax error at or near "UPDATE"
LINE 41: UPDATE
I would like to be able to do both UPDATEs and use the CTE as I need to check it in both cases. I'm not sure if I have to wrap the whole thing in a transaction.
Any help would be appreciated.
new_user_id | old_user_id | new_employee_id | old_employee_id | new_display_name | old_display_name | new_first_name | old_first_name | new_last_name | old_last_name | new_phone_number | old_phone_number | new_updated_at | old_updated_at | new_job_type | old_job_type | new_department_id | old_department_id
-------------+-------------+-----------------+-----------------+------------------+------------------+----------------+----------------+---------------+---------------+------------------+------------------+---------------------+---------------------+--------------+---------------+-------------------+-------------------
474 | 19710 | 35275 | 035275 | | | David | David | Coyle | Coyle | [phone] | | 2017-06-22 17:09:43 | 2021-01-27 15:14:43 | | | 418 | 418
19701 | 432 | 21239 | 021239 | | | Piotr | Piotr | Mierniczek | Mierniczek | | [phone] | 2021-02-08 14:36:59 | 2017-06-22 17:09:42 | | | 249 | 73
19702 | 479 | 35568 | 035568 | | | Manjita | Manjita | Kunwar | Kunwar | | [phone] | 2021-01-15 15:51:44 | 2021-01-15 15:45:20 | | | 317 | 317
19707 | 19680 | 11111 | 011111 | | Sarika | Sarika | Sarika | Sharma | Sharma | | [phone] | 2021-01-20 12:46:09 | 2021-01-20 12:45:12 | | C.S. Employee | |