Computer won't start if power adapter is unplugged then plugged

Hi, if i unplug the power adapter on my Mid 2009 17" MacBook Pro to move computer or use battery and then plug the power adapter back in, then eventually close the computer, when i go to lift screen i hear it come on then it shorts very quickly and goes dead. after trying the power button about a dozen times i eventually get it back on. but for the next 2-3 times that i close the computer (not logging out and shutting down), i get the same short out and have to press power butter a dozen or so times. then it works fine from then on. when i did an extended diagnostic in safe mode it came up with this error code. which seems to be an issue with the sensor battery is defective or sensor connector or logic board battery.

4SNS/1/40000000: TB3T-128.000

is it possible to just get the logic board battery replaced? is the sensor battery and logic board battery the same thing? has anyone had this issue b4?

i'm not going to repair the logic board myself and would take it in to get it repaired but i have to tell them what is wrong exactly.

the actual computer main battery says its 100% charged. i never use it on battery alone anymore because of this drama. when i replug the power adapter back in --- it takes a couple of minutes for the green light to appear instead of the orange. the main battery was replaced a few months b4 this issue started from an idiot repair dude i do not want to go back to. help please.