Ours has been known to do the same. Sit at an empty chair at the table, with his little face just over the edge of the table, watching everything, like he’s part of the action.
We had a female cat at the same time who acted nothing like that. This was the male cat doing it and he had his claws and loved to go out and hunt too.
You want to see if you can capture it in photographs for history because back then I found seeing our cat present himself and look like he would actually talk to us as ahuman would, like he was a real part of the family, was unique.
Our female cat and dog couldn't do it.