As AG said in post #21, the 3rd opamp is wired to invert the signal.
But the fix is easy. Swap the wires from the first two opamps and the input to the third.
- U1 should feed the non-inverting input of U3 through R7.
- U2 should feed the inverting input through R6.
Why do you have such a large resistance for R10? It's 3.3 Meg resistance into C1, will make a delay between an input change and the output voltage change. The delay will be significantly longer than the 100uS in your notes. It may also add a large measurement error in whatever is monitoring V_out.