Diddy’s private jet left Los Angeles this morning and has been tracked down to a Caribbean Island, RadarOnline.com has learned. The embattled music mogul’s Gulfstream 5 — named the LoveAir LLC jet — is on the ground in Antigua. Based on records, obtained by TMZ, the jet started making moves on Sunday. It first left from Sacramento Executive Airport and then landed in Palm Springs, California. Later, the jet took off from Palm Springs and landed at Van Nuys Airport. The plane left Los Angeles this morning around 9 AM PT and traveled to Antigua. It is unclear if Diddy was on the plane but he was…