Unilaterally reopening a question to answer it and then unilaterally closing it again is not an appropriate use of one's unilateral closing and reopening privilegesunilateral closing and reopening privileges.
The privilege is not meant to give one a free pass to answer questions that should stay closed. This applies to both moderators and gold tag badge holders. A question should stay closed if it’s a duplicate, or stay open if it's not.
In this case, the question is a duplicate and already has an answer in the duplicate target, so it iswas inappropriate and unnecessary to reopen it, answer it, and then re-close it.