Winter dining budget in Tokyo: How to enjoy local cuisine without breaking the bank?

Hey foodies! I'm heading to Tokyo this December and I can't wait to dive into the winter culinary scene. I want to savor all the local specialties like hot pot, street food, and maybe some festive New Year dishes, but I'm on a tight budget of around $40-$50 per meal. Any tips on where to find delicious and authentic eats that won't cost a fortune? I'm all about getting the best value for my yen while still experiencing the rich flavors of Japan!