How do I add a tab here just like a details one but with other functionalities?
It’s possible, but requires custom code snippets. If you’re familiar with coding you can use the hivepress/v1/menus/listing_manage, it’s easy to add a custom menu item with a custom URL this way (e.g. another page on your site or external URLs), but rendering a custom template based on the listing details would require further customizations.