如何使用update和关键字编写sql语句？

我有下面的SQL查询，它可以完美地工作并显示结果

WITH tbl1 AS 
(
    SELECT 
       tbl2.[PERSON_NAME] AS tbl2_name, * 
    FROM [tableToUpdate] tbl2
)
SELECT 
    tbl1.[PERSON_NAME], tbl3.[name]
FROM 
    tbl1
LEFT JOIN 
    [tableFirstJoin] tbl3 ON tbl3.[name] = tbl2_name
INNER JOIN 
    [tableSecondJoin] tbl4 ON tbl4.[matchColumn] = tbl3.[matchColumn]
WHERE 
    tbl1.[PERSON_NAME] is not null

但我现在想向它添加一个类似于此的update语句

UPDATE [tableToUpdate] 
SET [column1] = tbl4.[column1], [column2] = tbl4.[column2]
FROM [tableToUpdate] tbl5

因此，我想在with语句中更新同一个表中的列，但要使用外部的值

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有人知道如何编写查询来执行此更新吗？

如果要通过cte进行更新，语法为：

WITH cte AS (SELECT field FROM tbl)
UPDATE t1 
SET t1.field = t2.field
FROM cte t1
INNER JOIN othertable t2 ON t1.field = t2.otherfield

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你有错误吗？我只是不确定update语句适用于哪里？