PS4 needs the hard drive to be pushed constantly in bay for it to work

Hi,

My PS4 requires the HDD to be physically pushed in the port really (really) hard for it to remain turned on.

Video demonstrating: https://streamable.com/4c9qvi Once releasing pressure the PS4 remains turned on, but display has no signal. I have tried a new HDD and the same thing happens. With no hard drive, the PS4 turns on, but will show no video output. Does anyone know what is going on and if I might be able to fix it? Thanks