Yeh, although on https://boomsupersonic.com/flyby/inaugural-first-flight-xb1-... they say 'Supersonic intakes: XB-1’s engine intakes slow supersonic air to subsonic speeds, efficiently converting kinetic energy into pressure energy, allowing conventional jet engines to power XB-1 from takeoff through supersonic flight.' - so perhaps the engine design problem is not as tricky as it would otherwise be.
All current supersonic aircrafts do that. The only kind of jet engine that can take supersonic intake air is scramjet(supersonic combustion ramjet), which is more like a space age gas torch, not a turbine engine. Shockwaves are going to blow off turbine blades if not done or something along that.
