I just wrote a Tip on this subject. Your technique didn't work and you have air in the system. I have highlighted the parts you may have missed.
Tip & How-To about Cars & Trucks
Vehicle Cooling System? No Heat? Overheating? You have AIRLOCKS.
So you replace the radiator, replace a radiator hose, or flush your radiator and refill the system only to find you have no heat and yet the vehicle is overheating! Why is that?
You have air in the system especially in the heater matrix which is dry of coolant and the water is not cycling and cooling through the radiator. For the cooling system to work it must be full of coolant with no air in there at all. There are videos, but basically, these as the steps.
You remove the radiator cap, as opposed to the reservoir cap.
You
elevate the front of the vehicle because the heater matrix is up in the dashboard.
You start the car and put the
heating on FULL heat.
Start the car, keep topping up until the cooling fans kick in.
Squeeze the bottom radiator a few times, and rev the engine a few times as it is warming up.
Turn off the engine, and top up one last time.
Put the radiator cap on and top up the reservoir, put the cap back on. Check for leaks.
Google 'burping a car cooling system'.
Posted by ADMIN... on May 01, 2022
https://www.fixya.com/cars/r29872074-vehicle_cooling_system_no_heat
and videos here
https://www.google.com/search?q=burping+a+car+cooling+system
...