I’m so sorry that you feel very frustrated by this situation, and your attempts to find resolution through encouraging your stepson to go for a bike ride or read, have been unsuccessful.
Blended families can be hard, and it sounds like you and your wife have different parenting styles and beliefs.
Can I please ask if you have looked at going to family counselling in your local area? This may be a good starting point if you believe your stepson needs some specialized support.
Another starting point could be relationship counselling for you and your wife, so that you can discuss things together with the help of a professional.
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