Baking textures with Blender 3.3

I'm not sure if this is the correct category to post this issue. Please correct me if I'm wrong.

I've been trying to overcome this issue, searching through countless tutorials on other sites, here as well but I haven't been able to do it.

First of all, in the beginning I tried to use the Wishes version with even trying to get used to the older version of Blender, which proved to be super difficult as I'm used to using the newer one with a refreshed UI with different key inputs as well. Anyway, I found out that thankfully there is a beta version that supports Blender 3.3 so I went with that later on. I did my mesh, did my textures, shades as if I would make a normal Blender model. (Think that's what the issue's all about. I should not look into this as if I'm going to render it through Blender...) I'm having a problem finding a bake texture tutorial anywhere that would lay it on the UV wrap but the ones online usually are about making normal models and when I try to import it on S4S, it doesn't look correctly.

My question is, does anyone know how I should do it on Blender 3.3? I tried to import the model onto the old Blender version too, but it doesn't show it correctly (of course, as expected) either. Exporting it as an .obj file also doesn't do it correctly, or I don't know the proper settings while exporting.

Any kind of help is welcome as I am very new to this CC making and I've lost my hair over this for the past few days. I want to scream. ;__;