We see the Federation HQ in Paris as being to the north/northwest of the Eiffel Tower, right across the river Seine, not at the Place de la Concorde. This would actually place the HQ in or near the 16th Arrondissement, while the Palais would have been located further to the northeast. (I was doing some photography at the Place de la Concorde this past June. Some nearby dickwad kept blasting The Chainsmokers out of a boombox at top volume while I was doing it. Very annoying.)
Unless this maybe these were some adjunct offices that Burnham, Sarek, and Amanda visited, and not necessarily the main HQ/President's residence? Like Washington, D.C., 23rd Century Paris probably has lots of governmental offices around the city, not just at the Palais. There were more words on that sign right beneath the "UNITED FEDERATION OF PLANETS," but CBS's streaming-resolution is so awful that even at max quality I still couldn't make out what the hell it said in the couple of shots it was visible. Then again, Sarek comes out of the building with the President's pardon right in hand, so it probably was their office.
And it looks like Emperor Georgiou is out there gallivanting around the cosmos, but also unrestored to her throne. While it seems like the Mirror Litverse is safe for the moment, there's still the upcoming Succession comic series, to say nothing of bringing Michelle Yeoh back next season or whenever, which could still complicate things for Empress Sato II. But we'll see.
And finally...wonder who they'll snag for Captain Pike and Spock next season? Should be interesting.