It’s an all-access pass, an opportunity to influence a $118 billion investing giant from the inside. And BlackRock got one. Hired by UC to advise on private equity deals, the world’s largest asset manager has embedded an executive at the system’s investing office in Oakland, gaining a true seat at the table with the managers who write the checks. The arrangement, which started in July, gives BlackRock a mandate to screen and vet opportunities — and most importantly buy stakes on behalf of the university in funds run by competitors such as Apollo Global Management and Blackstone Group.