My Razer Blade laptop came with a pre-installed ICC Profile that makes things look calibrated and correct to my eyes.

I read another response in this forum that recommended adding an sRGB profile and making it the default. When I do that, the whites turn a horrid shade of bright blue, as the monitor itself looks pretty terrible uncalibrated. I need this calibration profile enabled to see more accurate colours (so I removed the sRGB and my settings are currently the same as the screenshot above)
Inside of Photoshop, everything is set to the default color management and I work in sRGB for the web. When I open an sRGB document, the colours look off unless I turn on Proof Colors > Monitor Profile.
When I save for web, they all look correct in the preview pane, and come out correct in the end. Everything looks correct except for my working space (unless I turn on proof colours).
How do I keep the calibrated profile active for every non-Photoshop app, but get my images to look correct inside photoshop without having to proof?
Note: This laptop comes with both the integrated graphics card (it's named in the screenshot) and a GeForce one, too. Photoshop is set to be accelerated by the RTX card.
Edit: forgot to mention: Windows 10 is fully up to date as of today, and so is Photoshop.