Refactored the `handleTimestampsAndMode` function to eliminate the
redundant `setDestTimestampsAndMode` call. This simplifies the function
by ensuring that `setDestTimestampsAndMode` is only called once after
any necessary modifications to file writability.
PR-URL: https://github.com/nodejs/node/pull/54369
Reviewed-By: Yagiz Nizipli <yagiz@nizipli.com>
Reviewed-By: Luigi Pinca <luigipinca@gmail.com>
Reviewed-By: Minwoo Jung <nodecorelab@gmail.com>
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