2001 Mazda Millenia Cooling System question

[college man]

I take it the funnel is in the radiator fill port? That should be the point of air release. With the car hot and idling the coolant
fan must cycle. I like to see it come on twice.

https://www.ericthecarguy.com/faq/what-to-do-when-your-engine-overheats/solving-cooling-system-problems