The city expects to conduct interviews the week of April 21.
The plan replaced two existing managers in the fourth quarter due to underperformance.
The foundation last conducted an invitation-only search for the services in 2021.
The firm saw its director of diverse manager equity leave after nearly nine years of service to advance representation across industries.
The pension plan recently approved three commitments totaling $165 million.
Private debt would represent a new investment for the trust.
The contracts of incumbent providers will expire later this year.
The plan is conducting the search to see what other options are available in the market.
The foundation has utilized the same manager for its investment portfolio since 2006
The retirement system had anticipated initiating the search per state regulations.