For me the P0410 was caused by a corroded air pump check valve.
My original valve part # is 0021402860. That was replaced by a newer 0021406860.
I found an older check valve 0001407860 for $20. Tried it out for several weeks and the P0410 is gone for now. Let's see how it goes. If the older valve 0021406860 doesn't work, I will go for the newer 0021406860.
To remove the valve, you will need a 27mm or 1-1/16" low profile wrench.