Whoa, shit, no, that's NOT how you use a lab profile.
This is how you use a lab profile: https://www.damiensymonds.net/2010/03/bit-about-soft-proofing.html
Great!
So you can either:
simply choose to edit solely on that one, and only use the other (cooler) screen for emails and stuff; or
keep going with recalibrations on the cooler screen (continuing to follow the troubleshooting part of my instructions) to try to get it warmer and better.
The files you're actually working on at the moment should be on your actual computer. Only use the cloud for the jobs you've finished.
How's your hard drive free space now?