In a trigger, you get the DELETED and INSERTED tables, there is no UPDATED so replace FROM UPDATED with FROM INSERTED.
There is no UPDATED in SQL Server; just inserted and deleted. Also, it makes sense to add IF @@ROWCOUNT = 0 RETURN in the very beginning of triger's body. When UPDATE takes place, both inserted and deleted tables are not empty.
You may add the following code to make sure you handle UPDATE, not insert/delete.
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