The quickest way to kill the engine is run it over the 210 mark on the ECT gauge. Easy to do with the likely 20+ year old fan clutch bolted to that worthless 6 blade excuse for a gas engine fan. Fan clutches loose 200 RPM per year and need to be replaced at 5 years old. The factory type clutch with the undersized fan overheats and gives up when it is needed most climbing a grade.
Somewhere around 200K some folks have head gasket issues. The mains crack in the block and can give way - totally luck of the draw as to when. The 6.5 was redesigned to eliminate these cracking flaws for the military. Only available in an expensive new casting engine.
For those of us with a budget when you do find the last mile in the engine - A military surplus take out 6.2 with less than 30K on it is a $1200 option. With head studs, new rings, and some other things you drop it in for ~$2000 yourself.
With cooling improvements like a clean once a year cooling stack, 9 blade steel fan from a 1998 or use a 2002 Duramax fan, Kennedy Diesel low temp fan clutch (Or HD Hayden clutch from a 1998), 180 "single" T-stat, High Output water pump from a 1998, and A Team Turbo you will add life to the engine. Yes, ATT is under cooling improvement as there is less heat kept in the engine via a plugged exhaust!
Another quick death is from old injectors. They need to be replaced with good ones around 100K miles. If they fail the entire engine and oil cooler goes with it as part of a complete replacement.