he results of this book's research provide compelling evidence of ChatGPT's adept utilization of Peter Chew Method (Solution of triangle) correct solving Pool Game problem that cannot be solved directly by the cosine and sine rules. In stark contradistinction, the Method adopted by ChatGPT's can not correct solving Pool Game problem that cannot be solved directly by the cosine and sine rules. This underscores the pivotal role endowed by the Peter Chew Method (Solution of triangle) in amplifying the solving Pool Game problem proficiencies intrinsic to AI systems like Chat GPT. Pioneering Novel Maths Method such as Peter Chew Method for Solution of Triangle For Overcoming Errors in AI System like GPT Chat. This study underscores the importance of pioneering innovative Method to overcome existing Errors in AI systems like ChatGPT, particularly in Solving Pool Game Problem. The groundbreaking Peter Chew Method for Solution of Triangle showcased here holds the promise of unleashing untapped potential, elevating AI systems to new levels of proficiency. Essentially, the Peter Chew Method offers a strategic avenue for enhancing AI capabilities and pushing the boundaries of achievable accomplishments. These findings not only contribute to enhance AI's mathematical competencies but also emphasize the need for pioneering new Rules, Theorems, Methods or Formulas to further enhance AI systems like ChatGPT. Future research could explore the development of novel mathematical techniques tailored to AI systems, thus expanding their capabilities across diverse problem-solving domains. This can be effective in let us interest in using AI systems like ChatGPT while solving Pool Game especially when analogous covid- 19 issues arise in the future.