Different from flying schools, you should look
into an FAA "training center", defined as:

"FAA-approved training centers are certificated
under 14 CFR part 142. Training centers like
certificated pilot schools, operate in a structured
environment with approved courses and curricula,
and stringent standards for personnel, equipment,
facilities, operating procedures and record keeping.
Training centers certificated under 14 CFR part 142
however *specialize in the use of flight simulation*
(flight simulators and flight training devices) in
their training courses."

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Mark