I intend to apply for master's positions in Computer Science and I have done some projects, especially in ML/AI/RL. I would like to ask for some guidance and even a challenge project, from a professor (or professors) who might be potential supervisors. I would like this challenge to showcase my abilities to them. I have done some projects but I think I can do better, if I have some guidance. the challenging aspect means that the professor could be more certain of my abilities in this area of expertise, and that it would be highly relevant to them, since there are many projects that are challenging, but the supervisor would not find them relevant enough.
How should I phrase such an Email? Should I include my CV and credentials? I am at a loss to find the right words to write, since this has never been done before. I would appreciate any suggestions or guidance. Thanks in advance.
Note: I am mostly targeting the US and Canada.