Hi Mikhail,

no the routing to the correct menu Itemid for the tags component is done by Joomla itself, for this reason specifying the 'manual itemid' has no effect.

To allow Joomla to properly route tags links to the menu itemid you need to have a menu item of type 'tagged items' and choose all the tags to be routed as visible in the image below.
The routing will be done automatically by the Joomla router to the correct Itemid affecting also the sitemap.

Best regards

John