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Pull the glow plugs and get that coolant out first.
Then place the cooling system under a vacuum and see if it holds. Likely it won't as you already have coolant going where it does not belong.
You can pull the EGR valve for a look at the intake below it and if you find it wet and/or clean it is likely the EGR cooler is where things are coming from.
Once you know that then you have to decide if you are also going to do the head gaskets also. So with the EGR cooler you will be doing an oil cooler.
Then you could just pull the heads and get them back into shape and install ARP studs and a BPD EGR cooler and call everything good.
I would start by taking a look in the Tech Folder for the info on failed oil cooler and head gaskets.
Hopefully nothing else was damaged, bent, forcing it to turn over while hydrolocked.
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