Hmm, yeah. I mean with modern technology it should be feasible to create a more cost-effective / greener supersonic airliner than Concorde.
But basic physics dictates that supersonic flight requires a lot of power, as well as low bypass turbofans. So competitive with modern "normal" airliners in terms of cost or emissions per seat-km, nope, not gonna happen.
Synthetic jet fuel is a good idea that deserves R&D money (if we're gonna keep flying long distance in a carbon constrained world I think something like that is going to be necessary), but is orthogonal to a supersonic airliner. Unsure why they think that bundling synthetic jet fuel (itself a high-risk R&D project) with their supersonic jet (another high risk R&D project) will do anything but increase the risk of failure of the entire project. Well, the uncharitable explanation why they're doing it is of course greenwashing.