Thank you for the reply, MarkK.
Yes, those are the pages on the smb.museum site I was looking at. In particular, on the plan-your-visit/prices-tickets/ page, it says:
"In connection with special exhibitions, it may be necessary to book additional tickets to visit the museum. Please refer to the respective exhibition websites for more information."
So I am trying to figure out which of the museums I am interested in have special exhibitions that require additional tickets. And I regret to say that I am confused. Here are three examples of special exhibitions at the Neues Museum:
"Dioscuri – The Given Day" from 12.04.2025 to 23.11.2025, and on that page at the bottom it says "A special exhibition" while on the right side of the page there is a "Prices / Tickets" section that says "Neues Museum 14,00 EUR Concessions 7,00".
"On Paths Untrodden" from 23.05.2025 to 08.02.2026. At the bottom it says "A special exhibition" but in the bar on the right side there is no "Prices / Tickets" section.
To crown my confusion,"The Crown of Kerch" says "A special exhibition" at the bottom, and in the "Prices / Tickets" section mentions "Museum Pass Berlin 3 days for permanent exhibitions". But this is such a long-running exhibition (19.10.2017 to 22.09.2027) that I can't imagine it means the Museum Pass Berlin is not good for the Neues Museum for ten entire years.
We may just have to purchase the pass and hope it works out to be worthwhile.
For the Reichstag, we have submitted a reservation request and have received an acknowledgement but the request is apparently still being processed.
For the color Ultramarine, I meant
https://de.wikipedia.org/wiki/Ultramarin#Nat%C3%BCrliches_Ultramarinblau,_Fra_Angelico_Blau
https://de.wikipedia.org/wiki/Lapislazuli#Pigment
As I said, perhaps Berlin isn't quite the right place, but I can ask someone at the Gemäldegalerie. :)
Edit: If I ignore the statement to "Please refer to the respective exhibition websites for more information." but go to the museum venue sites, instead, the Tickets & Admission page for the Alte Nationalgalerie says:
During the special exhibition 'Camille Claudel and Bernhard Hoetger.
Emancipation from Rodin', holders of the Annual Passes BASIC and
CLASSIC, the Berlin Welcome Card (All Inclusive and Museumsinsel) and
the Museum Pass Berlin (3-day ticket) are required to book a paid
ticket (4 euros regular/2 euros reduced) in advance online. Holders of
the Annual Pass CLASSIC PLUS and of the Kombiticket Museumsinsel are
exempt from the co-payment obligation and book a free ticket in
advance.
Unfortunately, the Tickets & Admission page for the Neues Museum itself refers me to the exhibition pages I listed above:
In connection with special exhibitions, it may be necessary to book
additional tickets to visit the museum. Please refer to the respective
exhibition websites for more information.