well, if there are two bleeders at the same level, the one that works will suffice, at a lower empty rate. If there is no second bleeder, use a small diameter siphon, or remove the lower hose from the radiator.
Replace the bleeder valve. On vehicles equipped with a bleeder valve it is imperative you use the bleeder to remove trapped air. No other procedure will remove all the trapped air. On cars without a bleeder, you simply remove the radiator cap and start the engine. Watch until all air bubbles have escaped. This will not be sufficient on your car. Failure to remove all trapped air, will lead to a hot spot and possible engine damage.
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You need to find and fix what broke. The first places to start would be coolant level, engine temperature, and dash heater controls.
The coolant is old, broke down, and needs replaced.
When it leaks. If it ain't broke don't mend it
Sounds like something was droped into the engine. I would also like to know why you changed the intake gasket. If it was leaking water/ engine coolant into the cylinders then you may have damaged / broke a piston are bent a rod. Water will not compress.
you would lose all your coolant
if the water pump is broke, you wont be driving for very long. probably about 15 miles, depending on how warm it is. then the engine will lock up forever. if the thermostat is broke, and it is closed, then the coolant wont circulate, and it will go a bit farther before it locks up. if the stat is broke open, then it will run, but it will run rich for a long time.
Broke down
to remove the broken bleeder. u can use an easyout most times you can get at this without taking calipre completely off car the bleeder already has a hole thru the centre, so all u need is to get correct size easy out the easy out screws into the hole that is already in the bleeder it will screw in backwards(left hand thread) while screwing in, it will cut into bleeder making its own thread when the easyout has good enuff contact the bleeder should screw out as you keep turning you will also need to be careful doing this as easy outs can break fairly easy if not comfortable, take calipre off vehicle and take it to a brake shop . a mechanic there can remove it for you NOTE do not let anyone tell you it cannot be removed you can also drill the hole a little larger before you start and use a larger easy out you will need to remove calipre from vehicle to do this and make sure that you flush out any metal debri from calipre before you reinstall if this works then you just install new bleeder into calipre ,then bleed your brakes
You should see the coolant circulating in the radiator when the car is running
The cost to fix the coolant system depends on what is broken. It could be less than $100 for a hose to over $1000 for a head gasket. You cannot run the car without coolant because the engine would overheat and seize up.