The Dome shaped building thats often seen in the foreground of the Senate bulding?

The pub...

This one?

Really though, I believe you're talking about the Executive Building.

Yep, thats the one. I thought it would be something like that, and I presume the two buildings are connected with some secure access means?

Yep, thats the one. I thought it would be something like that, and I presume the two buildings are connected with some secure access means?

Yup, you walk through the pub...

The Republic Executive Building... built after Palpatine became Chancellor...

Edit: and then I look closer at Lathrop's post and see that it is already linked...