The fuel cell of a well-known manufacturer, which I am currently having installed at a construction project, consists of a conventional gas boiler and a fuel cell that electrolytically converts the natural gas into water in a "cold combustion" process with supplied oxygen from the air, generating electricity and, as a byproduct, waste heat that is fed to the heating system. For the higher heat demand in winter, there is the normal gas boiler, which is switched on as needed. So it is a hybrid system.
The costs are high – the system for the planned construction project (350m2 heated living space) delivers 750W electrically and heating power modulating 2-32 kW and costs, with ready-for-operation installation, maintenance contracts, etc. – but without electricity storage – approximately €35,000 gross and is subsidized by the KfW with about €14,000.