"Aerodynamic forces on the airplane AND inertial forces sum up in flight." Which is the reason I mention a lot about steady state trimmed flight thich effectively removes the inertial forces from the simulation. I have also omitted downwash which isn't that big of a factor (put the elevator high out of it like a Cap). The you have the total lift from wing and tail equals the weight of the airplane, the pitching moment of inertia doesn't count unless you are in accelerated flight and it leaves you with just... the moments due to aerodynamics, which in a simplified examination, are a result of two things, the wing lift and tail lift and their associated moment arms.

I could sum moments for steady state flight about the nose of the spinner. Then you have the wing lift times the distance from the nose to the quarter cord of the wing, the weight of the airplane times the distance from the nose to the CG and the tail lift times the distance from the nose to the tail.

You can get a simple answer by examination since the weight (CG) moment is greater than the wing (lift) moment you must have a lift at the tail. Neat stuff.