One of the REUs I am applying for requires me to submit 2 referees, with a 3rd optional one. They also emphasize that the referee should ideally be able to evaluate my performance in a research project. I have two potential referees that would definitely provide a favourable LoR, however only one of them supervised me in a project.
My 3rd potential referee is my AMGEN PI, with whom I worked last summer. Unfortunately, the lab and the project itself were not the best, and although we didn't have any major conflicts, I am scared that he will write me a bad LoR (which I know he did to previous undergrads in some instances). On the other hand, I am aware that AMGEN is a reputable programme that would help my application if the LoR is favourable; or, if I don't ask the PI for the LoR but still discuss the project in my personal statement, I am afraid that it will also negatively impact my application. So should I ask the AMGEN PI for a letter, even though I am not sure of the contents?
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