1. Prepare the Vegetables:
   - Clean and chop the fennel bulb into small pieces.
   - Clean the artichoke by removing the tough outer leaves, cutting off the top, removing the choke, and chopping the heart into small pieces.
2. Cook the Vegetables:
   - Place the chopped fennel and artichoke into a steamer basket.
   - Steam the vegetables for 15-20 minutes, or until they are tender enough to be easily pierced with a fork.
3. Blend the Ingredients:
   - Once the vegetables are tender, transfer them to a blender or food processor.
   - Add the diced tofu to the blender.
   - Blend until smooth. If the mixture is too thick, add a small amount of soy milk to help achieve the desired puree consistency.
4. Prepare the Wheat Flour Mixture:
   - In a small saucepan, whisk the wheat flour and soy milk together until there are no lumps.
   - Cook over low heat, stirring constantly until the mixture thickens into a smooth paste.
5. Combine and Finalize the Puree:
   - Add the thickened wheat flour and soy milk mixture to the blender with the vegetable and tofu puree.
   - Blend again until everything is well combined and smooth. Adjust the consistency with more soy milk if necessary.
6. Cool and Serve:
   - Allow the puree to cool to a suitable temperature for a baby before serving.

Summary:
This Fennel, Artichoke, and Tofu Baby Puree is nutrient-dense, providing essential vitamins, minerals, and protein needed for a growing baby. The recipe uses gentle steaming and blending to ensure the ingredients are easily digestible for infants aged 4-10 months. The addition of tofu and soy milk adds protein and calcium, while the vegetables provide fiber and a variety of essential nutrients.

Storing Options:
The puree can be stored in an airtight container in the refrigerator for up to 3 days. For longer storage, portion the puree into ice cube trays, freeze, and then transfer the frozen cubes into a freezer-safe bag for up to 1 month. Thaw and reheat as needed.

Possible Side Effects/Allergies:
Always consult with a pediatrician before introducing new foods to your baby. Monitor for any potential allergic reactions, especially since soy and wheat can be common allergens. Symptoms of an allergic reaction can include rash, hives, breathing difficulties, or gastrointestinal distress, and require immediate medical attention if they occur.