Once Rush had enough albums to where they were past the stage where fairly new songs had no choice but to be at the end of sets, the band has never been immune to putting new(er) songs near the end of set lists:
-Red Lenses and Vital Signs in the encore on the P/G tour
-Grand Designs in the encore on the PoW tour
-Scars, War Paint and Mission all near the end of the set on the Presto tour
-Superconductor near the end of the set on the RtB tour (and seguing from Xanadu, the biggest WTF in the history of Rush
)
-One Little Victory in the encore on the S&A tour
-Far Cry at the end of the 2nd set on the TM tour