Closes#30091
Follow-up to #29958
This PR fixes the profile menu flickering due to the documentation aside
after updating the agent dock position over the settings file.
The problem arose because the `documentation_side` could get out of sync
with the actual agent panel dock position. The `documentation_side` was
only updated whenever the user changed the agent panel position using
the UI, but not when updating the position in the settings file.
You can reproduce this easily by changing the `agent.dock` position to
the opposite site in your settings, which will make the profile menu
flicker again in some scenarios due to the de-sync.
This PR fixes this behavior by computing the position during render,
thus the actual set panel position and the documentation position can
never get out of sync
Release Notes:
- Fixed the agent profile menu flickering after updating the assistant
panel dock position in the settings.