Steam coming out of vents and water runnind down inside of dash
Your heater core has corroded through. You need a new heater core. You may be able to get by temporarily, with bypassing the heater core hoses, located in the engine compartment. These hoses carry coolant heated from the engine, to the heater core. You remove the hoses from the core, and put a pipe in the middle, connecting the two hoses together using hose clamps.
Should there be a cool morning, or if you need the defroster, you won't have warm air. Just a temporary fix.
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