Hi finance,
Often the results of the surface will change when the situation is altered. The object itself moves, the camera point of view changes or the context’s content is different over time.
I really need a scene file to see what you like to have in the end. Please just zip the file and attach it here (max 4MB), or I can share a Dropbox upload link. (Dropbox, Google, Amazon, Apple, Adobe, or Wetransfer are the only ones I will touch for security reasons.)
If it is just the overall transparency of an object, why bother to bake it? It would be just a single value map based on the amount of transparency. A variation or even the total refraction amount can’t be baked in Cinema 4D with the Texture bake tag.
Glass has refraction, and the result inside of a scene can’t be baked in, as it requires the current constellation in AR.
Similar to that is refection; if there is no variance in the reflection’s strength, then this will also result in a single value gray-map.
The reflection itself is also in need of the AR’s current situation; otherwise, it will look like painted on.
If that doesn’t matter, the reflection will be taken as if the surface would be the camera, polygon by polygon. Otherwise, you have to enable the “Use Camera Vector”.
The Background Alpha, not to my knowledge directly, you would use the Background (Attribute Manager> Bake Texture> Tag> Background Color and use anything that is not given on your object. Besides, check the UV option to on and set the background to blue, then use this to create what you need. The UV islands will be green, the UV-borders red, and anything else will be blue; an easy channel picks what you need. But make certain the blue is not showing up on your backed material. If I would know more about why you need that Image background alpha, I might be able to explore it in a better way.
You certainly have looked into this:
https://help.maxon.net/r23/en-us/Default.htm#html/TBAKETEXTURE-ID_BAKEOPTIONS.html#BAKETEXTURE_CHANNEL_UVMAP
Please let me know if you like to share the file. I’m happy to look into it and, in the same way, to send you an upload link.
All the best