Polenta with Beer Sautéed Mushrooms - Serving Dumplings

Ingredients

• 1 ¼ cup milk
• 1 ½ cup water
• 1 ½ cup polenta
• ½ cup Parmesan
• 2 tbs butter
• salt (to taste)
• black pepper (to taste)
• 3 cups mushrooms (mixed, roughly torn)
• 3 yellow onions (thinly sliced)
• 2 garlic cloves (minced)
• 1 tbsp cornstarch
• ½ cup dark beer
• ¾ cup vegetable broth
• 1 tbsp butter
• 2 tbsp olive oil
• 1 tsp dried thyme
• salt
• black pepper
• 4 poached eggs (optional)
• fried sage leaves
• chopped chives
• flaky salt
• freshly ground black pepper