but I didn't succeed, could there be any other software or alternative around that can tweak anything in this P3000 by even 10 percent
There aren't many GPU OC programs out there, only handful,
further reading:
https://www.digitaltrends.com/computing/best-gpu-overclocking-software/
Do note that they all are created with consumer GPU in mind (Nvidia GeForce, AMD Radeon and maybe even Intel ARC). But none of them may not support workstation GPUs (Nvidia Quadro, AMD Radeon FirePro). So, you can try, but don't get your hopes up.
or could it be that my GPU connect to the motherboard is loosely held or something could be a miss in that connection, I'm even thinking of unscrewing the pc to check out the GPU motherboard connection
Unless you've forcefully rattled your laptop around, i don't see how there could be loose connections.
Laptop internal connectors are well built and resistant to rattling around (since laptops are portable and meant to be carried along).
You can open it up if you like, but do note that you poking in it may make things worse. You could brick the entire laptop, without you being able to power it on anymore. So, there are risks.
I'm just trying anything that can give me some slight hopes
When GPU is faulty (which has been confirmed on several instances), you hoping to high heaven will not make it work again.
Unless you are an Ork from Warhammer 40K, where when you believe something is true, then it will actually become so, brought into being in realspace through the power of the Immaterium by your gestalt psychic ability. Otherwise - No.
Willpower alone doesn't make things work like you want them to.
It is established that when you disable P3000, the system works fine off from HD 630. Why not use that to complete your task?
Sure, HD 630 has FAR slower rendering times compared to P3000, but having 10% of something is better than 100% of nothing.
I'd suggest that you look towards new laptop, rather than trying to resurrect the faulty GPU. Your attempts to get P3000 to work again is like flogging a dead horse. There is no point in doing that. It wastes your time and effort. Easier is getting a new PC.
With new laptop, it is up to you, if:
* buy another used laptop, like you did with this one, when you bought 6.5 year old used laptop and were able to use it 1.5 years, until GPU gave out.
or
* buy brand new laptop and use it for ~8-10 years issue free.