Safari (17.1, at the time of writing this answer) still does not support any form of push or local notifications inside Safari Web/App Extensions.
Although Safari 16 has introduced the relevant Notifications API (including Web Push API), it is available only for regular websites, and not for Safari Web/App extensions. The legacy Safari Push Notifications are also available only for regular websites and not for extensions.
Hmm it seems Push or local notifications are still not supported for Safari Extension :-/
https://stackoverflow.com/questions/75660781/can-macos-safari-web-extensions-issue-local-notifications-without-asking-for-per
Thanks for confirming...
Topic:
Safari & Web
SubTopic:
General
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