Who knows 5.7 fault code diagnostics?

408, I here what your saying I would have thought the dealer woukd have inspected it at the time but maybe not as they are flat rate.
No coolant through intake. Just wires and a couple vac hoses. Easy peasy. If there is trash in the solenoid, it will not have adequate pressure to let the phaser advance/retard correctly. Thus, giving the correlation code.