I couldn't view your referenced video (either removed or geo-restricted) to get a grasp of what your goal is, but my best quess is that you want your camera to follow the player only on the x-axis.
For that I present you two options:
1. Get only the x-axis in the world position of your player on fixed update, give it an offset if you don't want your camera to center the player and set the x-axis in world position of your camera, like this:
Then you can set the height (y-axis) of your camera individually because it doesn't get touched by these actions. The operation in the middle adds an offset of 0.3 in world space, meaning the camera (in my example) is a third further to the right on the x-axis, so that I always see ahead of where he's going. If your player isn't just going into one direction, you can dynamically change the offset to the direction hes facing and how far he should look there. This method also allows your player to jump or fall, without the camera following the player.
2. Follow the player smoothly with the camera with the action "Camera 2d Smooth Follow" from the Ecosystem, and calculate the 'Y Offset' value against your player's y-position; which is a bit more complex and inaccurate, but this action allows for the camera to have a smoother, more wobbly effect, especially when changing directions.
There's also the Corgi Engine asset specifically build for 2D games which comes with several functionalities that help moving the camera according to the player's position and even adapting it to several objects-of-interest on the screen, and maybe other assets that allow to manipulate the camera more easily, but I think you can come pretty far with PlayMaker alone.
In general, when it comes to moving any camera around, it almost always leads to guess-work, which offset is ideal and where to put the camera at what time; that's why this is an area where I suggest you to experiment and play around, to see which setting feels best for the vision you have.