Support for layout builder - block translation

Problem/Motivation

First off, this module looks very promising as compared to other related modules!

It seems to do its job on most fields (node level fields) that are configured to be manually translatable.
However, if I use the layout builder (/node/*****/layout) and place blocks with different fields inside that block then auto_translation does not seem to work for it.

Steps to reproduce

Create a node.
Use layout builder on that node (/node/*****/layout)
Add block content (Ex: Text Block with Title & Body Field)
Select Auto translate as Action and click Apply to selected items
Content can indeed be translated manually.
auto_translation will no pick up the layout builder block level fields.

Is there something configuration-wise I can do/should not do to make this work?

Any other workaround to support this feature?

If this is unsupported, I'd like to convert this to a feature request as it will help sites heavily relying on Layout Builder as well.
Thanks!