To successfully unlock advanced technologies like Steam Coal Mines and Infirmaries in Frostpunk, players must navigate the intricate Technology Tree by methodically building and upgrading essential structures while managing resources effectively. Here’s a detailed step-by-step guide to achieving these goals:

Step 1: Construct a Workshop
– Build a Workshop: This is your starting point for accessing the Technology Tree. Make sure to place it in a strategic location for easy resource access.
– Assign Engineers: Recruit and assign engineers to the Workshop. Their presence is necessary for researching new technologies.

Step 2: Explore the Technology Tree
– Understand the Structure: The Technology Tree is divided into several branches, namely Heating, Resources, Food, Health & Shelter, and Exploration and Industry. Each scenario may emphasize different branches, so pay attention to your specific needs.

Step 3: Unlocking Key Technologies
For Steam Coal Mines:
– Focus on the Resources Branch: Start by researching basic mining technologies. This foundational knowledge is critical for unlocking advanced technologies like Steam Coal Mines.
– Progress Sequentially: Research lower-tier technologies first. For instance, before you can access technologies that unlock Steam Coal Mines, you must first complete the necessary prerequisite techs related to basic coal mining.
– Invest Resources: Gather required resources such as steel and wood to fund your research efforts. Efficient resource management is crucial.

For Infirmaries:
– Focus on Health & Shelter Branch: Prioritize researching technologies in this branch early on to establish better medical care.
– Research Path: The Infirmary improves healthcare significantly over makeshift posts or tents, which is vital for maintaining citizen health, especially as your population grows.

Step 4: Plan Your Research Path
– Efficient Prioritization: Consider a strategic research order to ensure your city meets its needs promptly. A suggested order is:
1. Scouting technologies to gather intelligence on nearby resources.
2. Factories for industrial production.
3. Automatons for automated resource gathering.
4. Coal mining technologies to secure a steady coal supply.
5. Heat upgrades for improved living conditions during colder months.

Step 5: Resource Management
– Resource Gathering: To sustain research and the needs of your city, set up outposts on coal mines and construct gathering posts. This proactive approach allows you to gather resources while researching advanced coal mining technologies.
– Monitoring Coal Stock: Keeping an eye on coal reserves is essential for heating your city and running operations efficiently.

Summary
To successfully unlock Steam Coal Mines and Infirmaries in Frostpunk, it is imperative to build a Workshop, assign engineers, and strategically progress through the Technology Tree by researching necessary prerequisite technologies. Efficient resource gathering and planning your research path will ensure you can leverage these advanced upgrades to sustain and grow your city in the harsh conditions you face.