(Reuters) -The Biden administration plans to propose a rule to establish a maximum nicotine level in cigarettes and other finished tobacco products in an attempt to make them less addictive, the White House Budget Office said Tuesday, and cigarette makers responded that there were better ways to cut smoking harm. The rule, expected in May 2023, would be designed with the goal of making it easier for tobacco users to quit and help prevent youth from becoming regular smokers, according to a document released by the White House Budget Office. The proposal comes as the Biden administration doubles…