trying to manipulate a situation by falsely admitting to something you haven't done is not a healthy approach to resolving trust issues.
If you suspect that your wife has cheated and want to address the situation, it's best to have an honest and sincere conversation with her. Avoid playing games or using dishonest tactics, as they can further damage trust and create additional problems in your relationship.
Approach the conversation calmly and non-confrontationally. Express your feelings and concerns, and let her know that you value honesty and transparency in your relationship. Encourage her to be open with you and share her side of the story. Remember that accusations can put people on the defensive, so strive to create a safe and understanding environment for her to talk about her feelings and actions.
If trust issues persist and the situation becomes more complicated, consider seeking professional counseling or therapy together. A trained therapist can help facilitate communication, rebuild trust, and work through the underlying issues affecting your relationship.
Remember that resolving trust issues requires both partners to be willing to communicate openly and work together to rebuild trust. It might not be easy, but it's crucial to work through these challenges with respect and honesty.