My ps4 slim fan started being loud after cleaning

Hello everyone hope you having a good day

So my ps4 slim was being a little loud so I took it apart cleaned it and replace thermal paste 2 times in 2 month. Right now it sounds like a jet engine when I play any video games. The fan will go quiet when i’m watching youtube or Netflix. Sometimes when I’m playing hungry power games like star war battlefront 2 story mode I would get a blue screen saying ps4 is too hot but it would go away then it might come back but never shuts down. 1 more thing when I place my hand at the vent port when i’m playing video games cold like warm air comes out.

If you have any idea whats going on tell me please and thank you the help :)