will it reduce the air pressure difference on the ground? i was in a building and it moved. i felt it. sound is only one problem.

Overpressure
Sonic booms are measured in pounds per square foot
of overpressure. This is the amount of the increase
over the normal atmospheric pressure which surrounds
us (2,116 psf/14.7 psi).
At one pound overpressure, no damage to structures
would be expected.
Overpressures of 1 to 2 pounds are produced by
supersonic aircraft flying at normal operating altitudes. Some public reaction could be expected between 1.5 and 2 pounds.
Rare minor damage may occur with 2 to 5 pounds
overpressure.
As overpressure increases, the likelihood of structural
damage and stronger public reaction also increases.
Tests, however, have shown that structures in good
condition have been undamaged by overpressures of
up to 11 pounds.
Sonic booms produced by aircraft flying supersonic at
altitudes of less than 100 feet, creating between 20 and
144 pounds overpressure, have been experienced by
humans without injury.
Damage to eardrums can be expected when overpressures reach 720 pounds. Overpressures of 2160
pounds would have to be generated to produce lung
damage.

https://www.nasa.gov/centers/dryden/pdf/120274main_FS-016-DFRC.pdf

They're promising

I guarantee it will be louder than that. Unless the flight path is directly over a senator's house or an historic golf club (where donors play), it will be too loud.

Literally make the flight path over the richest part of town or I won't believe it.