Supersonic Business Jet Concept

[Fictional] Concept of a Supersonic Business Jet. As current business jets can (almost) go supersonic, it is expected that in the near future they will be able to fly supersonic - faster than the speed of sound. While there already was a supersonic jet in regular commercial service - the Concorde, it was never profitable and most people couldn't afford a ticket. However, when it comes to business jets, the costs don't matter that much, which is why supersonic aircraft may be the perfect candidate for this niche. My concept of the supersonic jet is inspired from real concepts made by aircraft manufacturers, however, it is likely that the position of the engines is highly unadapted for supersonic flight, as it causes the aircraft's center of mass to shift towards the rear, and the attachments to tail will be highly susceptible to metal fatigue because of higher strain at supersonic speeds. For this aircraft, a "fighter jet" configuration may be better for the engine placement (also similar to the Concorde's engine placements) , and may be included on future designs.