BP PLC said Wednesday it will ask the U.S. Supreme Court to decide whether businesses must prove they were directly harmed by the 2010 Gulf Of Mexico oil spill to collect payments from a 2012 settlement. The announcement came two days after judges of the 5th U.S. Circuit Court of Appeals voted 8-5 against reconsidering the issue…BP initially estimated it would pay roughly $7.8 billion to resolve spill claims. The company later said the claims administrator was misinterpreting the settlement in ways that could add billions of dollars worth of bogus or inflated claims and it could no longer estimate the deal's ultimate cost…