The “Other” option in the extracted question does not function because extracted questions are designed to collect responses only for the answer choices that exist in the original source question.
Since the source question does not include an “Other” option, the extracted question is unable to capture any responses for it, even if it is enabled later.
Workaround:
As an alternative, you can manually add an option in question, rename it as “Other”, and use a dynamic comment box to collect open-ended responses.
Screenshot for reference: https://prnt.sc/eZyqcwG5yfFQ
You may also refer to this guide for detailed steps:
https://www.questionpro.com/help/dynamic-comment-based-on-logic.html