I like the idea of Be3 but based on the reasoning of my prior post I don't think we are ready for it now.
13. Be3 Ng4 is very annoying
We may need to play h3 first.
Jeez... you're perfectly right!
After reading your prior post I had the impression we could postpone h3
after the Ng4... I didn't pay attention to the fact that our Bishop will already be on e3 and so under the attack of Ng4. As you said, this will be very annoying, we would be forced to move again the Bishop.
On the other side, starting with the pawn and only then the Bishop, looks maybe a bit too long to me.
Ok, a4 for me too, please.
In short 13. a4 is a simpler plan we can play right away, but what is our follow up?
This obviously can vary, but the options clear to me are:
13. a4 bxa4 ---> 14. Nxa4 (check to the Queen)
13. a4 [Black doesn't swap] ---> 14. axb4 or a5 or wathever based on what Black moved