In PS? Where do I go to change this? I'm not great at this and could use some direction on where to fix. Thank you!
In Photoshop > Working Spaces > RGB, you have your display profile. Don't do that, it breaks color management.
Working RGB needs to be a standard color space like sRGB IEC61966-2.1, Adobe RGB, or ProPhoto. Those are the profiles you would use as embedded document profile.
The display profile created by the Spyder is set up at system level automatically. Photoshop will find it there and use it, without any intervention from you. This is a standard profile conversion from the document profile and into your display (Spyder) profile. This conversion is performed by Photoshop on the fly, as you work.
In other words, run the Spyder software and then don't do anything. It's all handled automatically.
Did you check Lightroom and Camera Raw versions? Not "latest", but which versions, specifically? Please do that.