I want a clear improvement using the only the eyes as measurement. Not looking for zoom, just for a more clear image, lesser blur, fine details in distance to look better.
Let's break this down...
Clear Image - a clear landscape image is due just as much to light and atmospheric quality as it is to sensor and lens choice - perhaps even more so. The iconic landscape shots are generally shot during "golden hour" - your images are all shot midday, the second one in particular is being robbed of clarity because of flare.
less blur - see above. Your first image is about as sharp as the HDR shot you're looking to emulate (which has been over-sharpened in post, IMO).
Fine distance details - again, see above. However, this one in particular will also hinge on how much you are blowing up the image, how high of resolution your sensor is, and whether or not your lens can resolve the detail.
You're not even coming close to maxing the potential on your Galaxy Note 8. Shooting a shot like your HDR example means learning how to do this particular type of post processing - and the images needed can easily be taken on your Note.
The next step toward improving your photography will be to learn composition and how to use natural light to your advantage (and how to avoid lens flare!).
You don't need a new camera...until you are maxing out the potential of your Galaxy Note 8 and are trying to do something that it technically cannot do.