No updates available?

Sounds (and looks) like you installed a GSI.

“There will be no OTA (over the air) updates for the GSI’s. This means that the user will have to install new GSI builds manually every time it is released, or when they want want to update it.”
(https://doc.e.foundation/support-topics/understand-and-use-gsi.html)

As for new versions …

(T or A13 = Android 13, R = Android 11, S = Android 12)