to exercise like Authority over all Places purchased by the Consent of the Legislature of the State in which the Same shall be,The land (or territory, if you will) in question was not purchased by the consent of the legislature of Nevada because Nevada did not become a state until sixteen years after the U.S. purchased the land by treaty with Mexico. IMHO, A1S8 does not apply to the Bunkerville Allotment of the Gold Butte.
The part you quoted (to exercise like Authority over all Places purchased by the Consent of the Legislature of the State in which the Same shall be,) refers directly and only to those uses listed in Art 1, Sect 8, Item 17.
The fact that the fed bought the land from a foreign power, rather than gained the land by conquest, has no bearing on this issue, what-so-ever.
The uses for which the fed gov can own land are limited to only those uses listed.
You keep getting hung up on the “bought it” angle. That means nothing other than the lands were bought in order that they’d (the lands) be incorporated into the US of A, first as territories which the fed gov does manage directly, then, once the proper hoops were jumped through, as states. Once states, only those items listed can be owned as property by the fed gov.