2000 3.5L AIR pump system

Despite patching a small hole in the plastic outlet air pump hose, I continue to get code P0410 and a check engine light. After resetting the code and CEL, the CEL takes a long time to reappear (months), but the OBDII scanner shows the secondary air pump sensor to be incomplete/not ready. All other sensors show as 'ready'.

With inspection coming up, I need to fix this. The pump seems to be running find (no screeching, runs for ~30sec at startup, is pumping air). Since it seems that the pump and relay are fine, I suspect that replacing the outlet hose(s) and control valves between the pump and manifold will fix this. Can anyone provide the part numbers for the outlet hoses and these valves?

Thanks.