The correct spelling of the phrase "doest level best" is actually "does their level best." The "doest" is an archaic form of "does" that is no longer commonly used in modern English. In the IPA phonetic transcription, "doest" is pronounced /ˈdʌst/, while "does" is pronounced /dʌz/. So, the correct spelling of the phrase is "does their level best," meaning someone is doing everything they can to achieve their best performance.