Okay, for that get a cooling system pressure test and a combustion gas tester kit (both are loaner tools at a couple chain parts stores, so you don't need to buy them). Do the pressure test first on a cold engine. You can also pull the plugs and look at them while doing the test. You want them to all be the same color, so if you have say, 7 that are all tan with a bit of soot and 1 that is white and clean, you have a bad gasket in the clean bore. 2 very clean would show a gasket failure between them.
By doing the pressure test and plugs cold you have a head start. If everything there looks good and the plugs are all the same, start it up and do the combustion gas test. If it's a very slight leak or takes a long time to change the fluid color, you could try some Blue Devil in it.
The pump would leak outside the engine not into the oil.
Feb 9, 2022 at 9:43 PM