API for Add-on information

I am running OctoPrint on the same Pi I have a load cell connected for filament weight.
Using the Filament Scale plugin.
I have "Filament Remaining" displayed in the side bar with how many grams remaining.

I have looked at the API guide and I don't see a way to export any of the Add-On data. I also tried MQTT add-on and it does not export the data.

I am trying to get the filament weight into Home Assistant without having to write my own script.

Is there a way for me to get the information from the add-on and send it somewhere?

Unfortunately looking at the code of that plugin there is no API that you can poll for that information. It only has websocket data being pushed out to connected clients, ie OctoPrint web interface.