By Charlie Conchie A Home REIT sister fund facing an investigation by the City regulator has called in a new investment manager to try and save it from collapse and salvage tens of millions of pounds of pension cash, City A.M. can reveal. Home Long Income Fund (HLIF), a vehicle set up by its former investment manager Alvarium in 2018, was the precursor of scandal-stricken investment trust Home REIT, which announced it would be winding down this month. While HLIF attracted hundreds of millions of pounds from City investors on the promise of alleviating homelessness and providing a steady return…