The council earlier voted to postpone the legislation after concerns were raised about what books would be purchased.
Construction will limit access to the road and associated recreation.
The facility, located at 52520 Kenai Spur Highway, has drawn ire from community residents.
Efforts to establish a cold weather shelter on the peninsula have been in the works for years.
The board paired new Alaska State House Districts with Senate districts Wednesday.
Members discussed if the meetings were necessary with public Zoom access available.
The closure affects an area of Cook Inlet from south of Kalgin Island to about Anchor Point.
Murkowski celebrates passage of federal infrastructure bill
The borough assembly passed legislation supporting the association’s application for grant funds
The changes are focused on streamlining the application process.
About $3.4 million of American Rescue Plan Act was allocated for “pay-go” infrastructure projects.
The CPH director of external affairs said the hospital does not treat COVID-19 with ivermectin because it has not been approved by the FDA for that purpose.
The funds were part of $2 million in beetle kill mitigation funds obtained by Sen. Lisa Murkowski.