A travel trick I have mentioned here before, several times.
Say you have this.
One solution is to electronically increase contrast:
But you can also put a sharp object in front of the hazy background. Like this:
This gives you the effect of 3D “depth” (the “Close-Far” technique), as well as what I would call “excusable haze”. meaning, the haze has an excuse; no-one will blame you for it. In fact it can help make your foreground object look even sharper.