"I've found a YouTube tutorial for setting up the Monitor for Photoshop. My Laptop's color profile is, therefore, Adobe RGB (1998). My color profile in photoshop is the same"
That's completely wrong and misleading, in fact it's so wrong that I don't really know where to start.
The monitor profile should not be Adobe RGB. The purpose of the monitor profile is to describe the actual and current behavior of the monitor. It's a map. You would normally use a calibrator and actual measurement for that - this is how Photoshop is designed to work. The monitor profile should be one made for your particular display.
If you don't have a calibrator, you need to use a generic profile that is reasonably close to the native behavior of the display. For 99% of all displays out there, that's sRGB IEC61966-2.1. Adobe RGB would only be appropriate for a very few wide gamut models.
Your color profile in Photoshop should not be the same. That defeats the whole purpose. Your color settings do not matter - what matters is the profile embedded in the file. This profile will always override the working space. The document profile should always be a standard color space like sRGB, Adobe RGB, ProPhoto or DCI-P3.
To sum up so far: Document profile and monitor profile are two different things, serving different purposes. Don't mix them up.
If they are the same, Photoshop color management is disabled completely. It doesn't matter what they are; if they are the same, all color management is turned off. That's what you have now. There is no conversion from one to the other, hence no change, nothing happens. The numbers just pass straight through. That's a disaster waiting to happen, because you'll very likely run into files with different color profiles, which will then be grossly misrepresented on screen, so you make all the wrong decisions and the file quickly damaged beyond repair.
Set sRGB as monitor profile until you get a calibrator. Always make sure there is an embedded profile in all your files. And finally, don't change anything in Photoshop Color Settings. If you have, change it all back. Above all, make sure Color Management Policies is set to Preserve Embedded Profiles. Never, ever, change that setting.