Beyoncé may get to sing the National Anthem to hordes of freezing Obama fans packing the National Mall on Monday, but Lady Gaga’s definitely got the better Inauguration Day gig: Partying it up with all those crazy cats at the White House. Gaga will perform at a private ball Tuesday for White House staffers (whose security badges surely light up as rave sticks), the Associated Press has learned, filling the impossibly large shoes of Jay-Z who four years ago performed the 2008-appropriate “99 Problems but George Bush Ain’t One.†So Gaga better be ready with a victorious “Just Dance (With Obama)†and maybe even a conciliatory “Telephone (Romney to See How He’s Doing).â€