Generally speaking, venture fund advisors (management companies and the underlying individuals in the standard Decile structure, registered as Exempt Reporting Advisors) are exempt from BOI reporting so long as they 1) meet certain criteria and 2) make certain filings. You may find this
article generally helpful regarding this topic.
With respect to the GP Entity, if it is an entity controlled by a venture fund advisor, it is generally exempt as well. A Limited Partnership is also generally exempt from BOI reporting so long as it is a pooled investment vehicle, as defined by FINCEN.