H2S Firmware update through integration?

[OingoFan55]

I noticed that the H2S got a firmware update yesterday (1.02.00.00) and so did the AMS 2 Pro, but the ha-bambulab integration says it is current (1.01.00.00) (even after reloading integration). I'm in LAN only mode and was hoping the integration would be able to update the firmware instead of connecting it to the app. A few questions:

• Anyone able to update firmware successfully through the integration?
• Is it able to update the AMS 2 Pro firmware as well? I don't see it listed as a Diagnostic entity, but do on the H2S.
• Is the integration checking the correct area for firmware updates in Bambu?

Assuming 1.02.00.00 is out of beta now as people are receiving it.
https://wiki.bambulab.com/en/h2s/manual/h2s-firmware-release-history

Thanks!