We have been anticipating a fix to this https://gitlab.e.foundation/e/backlog/-/issues/7144 and a number of other Easy Installer issues.
Did your Easy Installer window show v-0.21 in the top of the window ?
This aimed will aim to fix a specific part current issues but I have a feeling we have to wait for the next release to add the fix for https://gitlab.e.foundation/e/backlog/-/issues/7645 where (not actually mentioned in this issue “latest” is intended to load true latest, that is to include the Android 13 (T) build where available.
Android 13 (T) is for sunfish as a dev or (new classifiction) community build https://images.ecloud.global/dev/sunfish/
As this is a dev build your System updater will not offer you what will require manual Android version Upgrade.
The S → T manual Android version upgrade is the subject of a number of forum posts, I will link this Feedback for v1.20 - #240 by aibd
You might next explore the functionality of your e-Recovery, to check its ability to install a new /e/OS version from a location to which you can navigate.
If this is feasible you should be able to download to and use e-Recovery to install e-1.20-t-20240223382228-dev-sunfish.zip from that location