I agree, that looks like merle to me and neither beagles nor poodles naturally come in merle, so there's another breed in there somewhere. It might be a couple generations back, but it's hard to say. There is a chance it's blue ticking, but usually that's a more even pattern rather than splotchy. Is this pup supposed to be a first generation cross (pure poodle x pure beagle), or are one or both parents also poodle/beagle crosses?