In the area of Londres Eiffel, I like Cafe Roussillon at the corner of Rue de Grenelle and Rue Cler. You might have a welcome or farewell dinner at La Terrasse by the Ecole Militaire Metro stop. If not, it's a nice place to eat with excellent people watching.
I have not eaten at these 2 places but they are said to be excellent:
Auberge Bressane : https://www.auberge-bressane.com
Le Florimond: https://www.leflorimond.com
There is also another restaurant that sounds cool but the menu is a bit "meaty" for me. It's history is fascinating to me as it was used by the Resistance in WWII to get information from the German officers stationed nearby at the Hotel Invalides and at the other end of the street at the Ecole Militaire (military school where Napoleon went!).
https://www.cafemax.fr/en
https://www.sortiraparis.com/en/where-to-eat-in-paris/restaurant/articles/282172-cafe-max-generous-french-cuisine-in-this-resistance-stronghold
All three of these are on Avenue de la Motte-Picquet within a block of each other and a fairly easy walk from your hotel. You might need reservations at the 1st 2. IF you eat early-ish you will not need reservations at Roussillon.
Without trying to overwhelm you, here is a link to a Corey Frye walk that is several years old starting at some Art Nouveau facades near your hotel. When the walk gets to 9:50 your hotel is just down the side street on the right. That restaurant on the corner he mentions has changed hands. It's now Le Bistrot des Fables and is owned by the chef who used to work for Christian Constant who owned the restaurant when Corey was doing his walking tour. I'm sure it's good. (insert eyeroll for me giving too much information!!)
https://www.youtube.com/watch?v=XAY8vsAbpFs&list=PLk_oRs9dMxtDWvE3FHnvWgBFbWkPA8KFS&index=50&t=573s
https://bistrotdesfables.fr/en/home/