In my old neighborhood in another state the property appraiser typically did all his appraising with his feet on his desk. When a new appraiser took office he toured every house in the city. People knew they did not have to let him. The people that disallowed his appraisal automatically had the tax bill doubled. At that point the home owner would invite the assessor to pay a visit.
As far as not having a permit to install AC, I could demonstrate that about only one in five homes in TV get a permit for replacement units. To do that look at the homes for sale in TV that say new AC in 200X then check the building permits on line.
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