Which chest was Moshe referring to?
Rashi: He was referring to the chest of the Shalmei Tzibur.
Can we extrapolate from here that all the previous Korbanos could be eaten in a Tamei location?
Rashi: Of course not! Only the previous Korbanos were all Kodshei Kodshim which could only be eaten in the Azarah; 1 as opposed to the Shelamim, which were Kodshim Kalim and which could therefore be eaten anywhere within Machaneh Yisrael, and which therefore required a warning to eat them in a Tahor location within the camp.
Which was automatically a holy location (Rashi).
Having (in the previous Pasuk) just precluded daughters from receiving a portion in Kodshim, how can the Pasuk now include them?