LOS ANGELES—Rick Caruso, a billionaire developer, has made an appointment for Feb. 11 to file a declaration with the city clerk’s office of his intent to run for mayor of Los Angeles, a sign that he might join the crowded field, the Office of the City Clerk said on Feb. 9. Caruso has a scheduled appointment with the city clerk’s office at 4 p.m. Friday, the office’s Josué Marcus said. The deadline to declare an intent to run for mayor is Saturday. In January, Caruso changed his voter registration to Democrat after almost a decade of being registered with no party preference. In October it was reported that he hired a high-profile political consulting firm as he considers another run for mayor of Los Angeles, which is led almost entirely by Democrats. Caruso developed the Grove shopping center, Palisades Village, the Americana at Brand, and other high-end properties in Los …