guilty pleas, guilty pleas entered under the Alford doctrine,

nolo contendere pleas or statements made in proceedings at which a plea was offered but not accepted by the judicial authority can be received at the trial of that case. Section 4-8A; Practice Book § 39-25. With limited exceptions, no statement made during plea discussions in a criminal case can be admit- ted at the trial of the case. Section 4-8A.