I answered that above. You have an 03. The DieselSite pump or the CnCFab pump. If you don't care for that advice, then try your own and keep us updated once a year.
$676 is marginally over the cost of am OEM remanned pump. The minimal amount more would be eaten up quickly by a repeat job.
Upgrade your 03-07 6.0L Powerstroke with this rebuilt CNC Fabrication, LLC Stage 1 High Pressure Oil Pump.
Personally, I have the money and wouldn't mind spending it on the DieselSite pump. I have kept up with a few users that installed it and they have a number of years under their belt with no issues. That said, the CNCFab pump is cheaper and also has a good reputation.
Several of the weak areas of an early 6.0L HPOP have been discussed a fair bit - going back to 2011. The only people acknowledging that changes need to be made in the original design are the two companies mentioned above. Their pumps have a great reputation with the forum people that have tried them.
If you don't buy into the hours and hours of following and researching the topic as a few of us have, then roll up your sleeves and start searching.