You mean the 3rd amendment, right?
I'm pretty sure 1st and 4th are the ones GP meant.
The 1st amendment (free speech) in order to protect the right to host the service in the first place and the 4th one (unreasonable search and seizure) to protect against surveillance.
Not sure how the 3rd (lodging of soliders in peacetime) would be relevant.
I mean 1 and 4. But you have me thinking about what 3 could mean in the future....and....I would be thrilled to provide a service with my compute to usa solider in need if that's what the future holds. Providing quarters meant food and beds back in the day, but I could see how this could translate to general web services, coms, ect in the future.
Third Amendment is about not quartering troops. Fourth Amendment is protection against warrantless seizures.
https://constitution.congress.gov/constitution/amendment-3/
https://constitution.congress.gov/constitution/amendment-4/