A lawsuit brought by Norman Braman, a Miami car dealer and fierce critic of the way a new Marlins baseball stadium is getting funded, will have its day in court. The case will go to Miami-Dade County Circuit Court at 1 p.m. Thursday. Braman claims the city of Miami and Miami-Dade County exceeded their legal authority to engage in a complex financial agreement with the team to fund the stadium and other projects like a tunnel to the Port of Miami. Braman calls the stadium funding plan, which relies on complex tax-increment financing from redevelopment agencies, a “shell game” designed to prevent a vote on huge public spending. Public officials say the plan is an economic catalyst authorized by state law.