Gurgling noise in enjine

This would explain the 'gurgles' if it sounds like water.

https://www.fixya.com/cars/r29872074-vehicle_cooling_system_no_heat

Bogging is likely to be Throttle Body and MAF needs cleaning.

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thermostat an water pump issue i think
running too cold in water jacket

Sounds like a release bearing is going bad.

Sounds like air/con T/X valve

Sometimes a VERY slight hiss is audible after using the ac. But a gurgling is not normal and usually a sign that there is air in the cooling system. The noise is the air "gurgling" through the heater core. I'd almost bet money that's the problem.

The chattering sounds like some thing loose,like a mounting bracket. or the shafts end play is excessive,there can be bearing failure at high mileage in the supercharger, The bearings are lubed by the engine oil while running check for oil leaks in the line to the supercharger.

The ringing noise could be from a bad alternator, a loose bolt, a loose pulley or gear or possibly a low fluid level in the power steering pump. Try listening for the noise when the engine is idling, then as you rev the motor from 1000 to 1800rpm and also while you are driving on the street and the highway. While the car is in park and running, crank the steering wheel right and/or left until it stops and hold it there to listen for noises from the power steering. The electronic gurgling noise and chattering noises could be failing bearings in one of the pulleys (tensioner, idler,etc. and/or possibly a water pump bearing. Here is a tip for diagnosis- Find 3/8 drive extension that is at least 12" to 18" long. Open the hood and start the car. Take one end of the extension and place it on the alternator body away from any electrical connections, pulleys, belts, etc. and put your ear against the other end and listen for chattering, ringing or any other odd noise. Then do the same to the p/s pump, a/c compressor, etc. BE SURE YOU SAFELY APPLY THIS TECHNIC AND IF YOU DON'T FEEL COMFORTABLE, TAKE IT TO A PROFESSIONAL. SAFETY FIRST.

get to your mechanic. its probably some conponent were not put in place properly

You will need to figure out where the noise is coming from.If it does it while idling then look under the hood.Could be alternator,a/c clutch,water pump,tensioner.If it is under the hood then remove the serpentine belt and see what pulley you can`t turn by hand.Caution it could be hot.Good luck.

Check the water coolant level because some of the hot water goes into the heater radiator behind the dash. Seems you have air in the system.