Better Access to Technical Training, Learning, and Entrepreneurship for Servicemembers Act or the BATTLE for Servicemembers Act This bill directs the Department of Defense and the Department of Homeland Security to waive additional training under the Transition Assistance Program (TAP) under certain circumstances. The TAP provides information and training to service members and their spouses to assist them in the transition to civilian life by pursuing additional education, finding a job in the public or private sector, or starting their own business. Under the bill, service members must participate in TAP training programs unless they choose to opt out of such programs.