Hi John .
Did the auto electricians check for malfunction codes in the complete system .
This has to be done first, or you will never know what has to be rectified .
Most likely a problem with the immobilizer system so a scan will have to be done .
Sorry for the bad news that you have to take it into the dealer ?
But wait, one other option that i would do in your position with out the scan tool
get the local locksmith out ,they have all the equipment needed to check what could be the problem ,they can read immo codes and reset / reprogram your system if needed
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