Atmospheric haze over long distances is normal, so there’s a limit to how much you can remove in-camera. A polarizer often won’t help much with distant mountain haze.

Based on the shared advice, the practical approach is mainly post-processing: increase contrast and saturation carefully, and adjust white balance if the haze looks too blue. In Lightroom or GIMP, you can also combine this with auto tone or vibrance rather than relying only on Dehaze, which can easily make the image look unnatural.

For the most natural result, use small adjustments and compare before/after to avoid overprocessing. If the haze is strong, you usually won’t get a perfectly crystal-clear scene from editing alone, but you can often improve clarity and color separation enough to make the image look much better.