How to bevel a concave edge? I would like to &quot;Bevel the face&quot;, like so:

I would like the result to be like the one below created by scaling new edge-loops cut by hand and so not very precise.

If is it possible to do so with a modifier and not via geometry would be amazing.
You can add another loopcut and bevel it.

Add a loopcut to the upper part
Add a Bevel modifier (limited to that loop)
Scale the loopcut down and adjust the bevel

I limited the bevel by Weight, but you can also use vertex group