New brakes, soft pedal, distribution blocks ?

Should be same. You either have air, or the shoes are not adjusted tight enough. If the drums are worn or turned oversize, the shoes may not fit "the curve" of the drums correctly. I would adjust them all up tight, and then check your pedal. Back the ajustment off equal "clicks" until the wheels spin with shoes still dragging. Drive around slow to wear them in a bit and re-check

Is this power or manual brakes? Manual brakes should be "rock hard" pedal. I would bet you still have air, somewhere. Sometimes, just leaving it set awhile and re-bleeding helps

Are the drums turned? Did you have the shoes "arced?" Good luck finding a shop who knows what that is LOL

View attachment 1715219367

I used to use one back in the 70's that exact unit but yours is much nicer looking,