The hashtag Development for the device at XDA: https://xdaforums.com/f/moto-g62-5g.12627/?prefix_id=33 is empty, so no Custom ROMs recorded there yet.
There are however two useful GSI threads,
We are waiting for a new Android 13(T) /e/OS GSI, the last (out of date) was for Android 10 (Q).
If you can please provide the device codename https://community.e.foundation/t/howto-find-device-codename/3066 then searches for that might be more productive. An app can also provide the codename.