Can a state's duty to provide guarantee of counsel in a criminal action be duly fulfilled when supplied representation is in violation of conflict-of-interest

QUESTIONS PRESENTED As Truth is fundamental: Can a state’s duty to provide guarantee of counsel in a criminal action be duly fulfilled when supplied representation is in violation of conflict of interest statute? Can assurance of guaranteed assistance of counsel exist where no lawfully binding power of attorney can attach creating attorney/client relationship? Can a conviction be received and sustained in violation of statutory and constitutional requirements for the conviction? i