There's many ways you can go about this, but you'll need to get more acquainted with Throttlestop. For example you can simply lower the max power allowed for longterm use, or just the one used for Turbo. Sometimes all the laptop cooling needs is just a few less watts and noise will become acceptable. (this also depends on your laptops cooling profile though)
Maybe I should clarify is that I use the laptop for gaming often. I know this is a fool's thing to do, especially on an old laptop, but it's the only computer I have available to me. Reducing Turbo would probably kill my gaming performance, as it is already spread thin as it is (although the biggest bottleneck is GPU, which is only a 940m). From the quick research I've done, undervolting NVIDIA GPUs with MSI Afterburner's curves is only possible from Pascal onwards
Regarding the performance profiles, that could be interesting, as I could have a work profile with much less CPU power and quieter fans (although the noise/heat problem is obviously much more annoying while gaming, and barely a minor nuisance with standard work use).
I will definitely look into repasting then. My fear is I will have to repaste very often due to good quality thermal paste being expensive in my country, so I would probably end up using a low range one. But as long as I can go two or more years without repasting again, I'm happy.
Thank you for all the advice, will make sure to be grounded and disassemble carefully. Regarding peak performance, I'll be happy with anything that doesn't sound like a jet engine while gaming.
Currently I am using a tool called SpeedFan to try and have fans be less agressive, but I'm unsure as to safe temperatures. I have set a "warning" limit of 70°C for both cores of the CPU and for the GPU, so I guess fans go to the max whenever temps go above 70. While gaming, temps reach around 80, which I guess is getting close to dangerous temps for the longevity of the laptop.
Thank you again for everything!