There are only a couple places the coolant can be going, either an external leak or there is a bad gasket, and the engine is sending it out as steam. An external leak shouldn't be hard to find if it's losing that much as it will leave deposits and staining. What I suggest is to go to a parts store and get a radiator pressure test kit and some leak detection dye. Then top up the coolant and add some dye with the engine cold and set up the tools.
https://www.2carpros.com/articles/radiator-pressure-test
Remove any shields and such that block your view. Now for the initial test with a cold car, get the gauge in place and start the engine and watch the pressure gauge. When you first start it, you shouldn't see any pressure reading, then after the engine starts to warm up the pressure should start to rise. If on the other hand you start the engine, and the gauge goes up very fast in a short time (usually this would be less than a minute) you can shut it off and know that you have a blown head gasket. If there is no change, shut the engine off. Now use the manual pump to raise the pressure up to about 15 PSI. Let it set. If there is no leak the pressure will stay the same. Ig you have a leak then it's time to go hunting. Take a UV light and start looking for the glow of the dye. Check all around the engine, radiator and check the heater core as well. The leak should show up rather easily. As the shop you are using cannot find a leak, find a better shop. I suspect, based on the items you had replaced and the coolant loss, that it's a bad head gasket. Testing should show either a leak or a bad gasket.
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Saturday, April 20th, 2024 AT 10:20 AM