Even built-in browser on Itch.io can be expired login session and can log out manually, but itch.io app itself remains logged in.
This mismatching log-in status between app and built-in browser causes inconvenience on some operations what browser-based, such as download games or modify private collections.

For that reason I would like itch.io to make sync login status between app and built-in browser.
In other words, logging out itch.io manually on built-in browser makes log out app itself too, and matching itch.io log-in lifetime between app and built-in browser.