If you find that one of the brown wires from terminal 7 of the wiring centre connects directly to terminal 4 of the programmer (...and that should mean that the other brown wire connects to the L of the thermostat); the programmer brown wire in 7, could then replace the grey (with brown sleeve) wire in terminal 6.
The stat would then be linked out at the wiring centre.
The stat would then be linked out at the wiring centre.