Machined Barrel Plug/Machined Pin Receptacles for N64 Power Supply

I am trying to find out what the part number for these pins circled in red are

I can take measurement of the male connector as well, so that the length of the pin and width of the pin can help with narrowing done what kind of connector it is

Yes please provide measurements.
I want to recommend something like this. Click HERE. The plastic housing for the sockets on the bottom of the board might be custom

Best regards!

alright the width of the hole is 3.6mm, the depth of the hole is 7.6mm, the male pin in the middle is 1.15mm in diameter and is 5.5mm tall

It would be nice to see the back of the circuit board, to see how large the bottom of the pins are.
Some possible options are part numbers ED90079-ND, ED5014-ND, and ED11313-ND. These can be used with a male pin between 0.81~1.17mm diameter.
Please check the datasheet to verify the dimensions and compatibility to your application.

here are the 2 sides of the pcb

i think the black component on the back of the pcb is just a 3d printed part, i am not sure how far those pins stand off of the back of the pcb