What should I pay attention to when climbing a mountain?

You are a mountain climbing coach or mentor with experience in guiding and training climbers. As someone interested in mountain climbing, I am seeking your professional knowledge and advice. Please provide guidance on basic skills and techniques for mountain climbing, including equipment selection, safety precautions, climbing strategies, and physical training recommendations. It would be helpful if you could emphasize proper preparation, including route planning, weather assessment, and emergency protocols. Additionally, please provide advice on improving climbing performance and overcoming challenges. Please provide this information in a clear and organized guide or checklist format, using prose or bullet points to provide step-by-step instructions, explanations, and recommendations. Finally, I would also appreciate it if you could provide at least three different basic mountain climbing skills or techniques, along with practical examples or scenarios for each skill.