Central Air AC Power
This is what I do for a living, and he did it the easy way. He should have supplied your compressor from the 200 amp panel.
Wiring for power quality is an involved subject, but trust me, wire it from the main panel, and you will even have lower electricity bills.
If possible, when he runs it to the main panel, have him re-arrange the breakers, and locate the "condensor/compressor" breaker right at the top, close to the main 200 amp breaker. The blinking and dimming of lights will almost disappear.
Brian, in soggy Swampland.
P.S. God Bless America...and everyone else.