U.S Constitution Article 1 section 8 (in part, emphasis mine)
"... snip ... and to exercise like Authority over all Places purchased/b> by the Consent of the Legislature of the State in which the Same shall be, for the Erection of Forts, Magazines, Arsenals, dock-Yards, and other needful Buildings;--And ... snip ..."
Thank you for posting the other relevant Constitutional passages that support my point. This land taking certainly has no relation to building ‘Forts, Magazines, Arsenals, dock-Yards, and other needful Buildings.’