My other question to this forum is about the other set of marks I found. On the bottom inside edge of the piece are two other marks. Again, it's an "АИ" and then just a portrait. Can someone clarify if this is just a duplicate marking (not sure why they would do that) or if this portrait and letters mean something else. Any help is greatly appreciated.
Hidden behind the handle:

On bottom, inside edge of item:

And here is an image of the entire podstakannik:

And finally in image of the front of the item. You can see some writing on the front. It's in a decorative Russian font so it's very difficult to read, especially for me, not knowing Russian so well.
