Bringing down Stucco Wall

[Sam Dal]

Can someone give me guidance on this estimate and if it looks ok for bringing down a wall?

My home is 100 years old and the wall is made of this:

Outer most later stucco type of cement, wire mesh, plywood, 3 inch beam every 16 inches, thin wood pieces rubs horizontal with 1/5 gap and then stucco inside (this stucco grade is different from outside)

The wall is just after the entry door to the right and if I open it up, I'll have a larger space to place a shoe cabinet and stool. With this, he'll also have to take out 2 100 year old doors

The first pic shows the wall (with the mirror) that needs to be taken out. The 2nd pic shows the same wall but from the other side and the 3rd pic shows the 2 doors need to be taken out

He said it'll run $1800 to do this and smooth everything out so it looks nice and gives us the space but if there is weight beam in the middle, then the costs may be a little more