Could Travis Kelce actually be Taylor Swift’s “End Game?”Their relationship appears to be heating up quickly as everyone’s new favorite couple hung out again on Saturday. This time, the NFL star even spent the night at the singer’s lavish apartment in New York City.A source exclusively tells Page Six that Kelce was spotted doing the “walk of shame” as he left Swift’s residence around 11 a.m. Sunday morning – hours before his team, the Kansas City Chiefs, are expected to take on the New York Jets at MetLife Stadium in East Rutherford, NJ.According to our source, Kelce was seen leaving Swift’s parking garage in the pop star’s black Range Rover. The car then arrived at his hotel in NJ, where paparazzi snapped pics upon his arrival.We’re told Kelce appeared in good spirits and said “good morning” to eyewitnesses as he headed into his hotel to get ready for Sunday’s big game.