Hi,
The power supply is on standby. Power is still available for the IR receiver, so you can POWER ON the TV with your remote control.
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The burnt pin is a problem. Both sides need to be cleaned carefully and maybe mechanically adjusted.
Check temperature after power ON .. for at least half an hour. Do the same in STAND BY.
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The most frequent problem with SAMSUMG power supplies are expired electrolytics capacitors. When they get old the voltage regulation gets out of control. Maybe causing overvoltage and overcurrent. This could be the problem that caused the pin to get burnt.
Klaus