I am down to two possible sources for the problem:
1) PC is generating EMI (Electrical Magnetic Interference)
2) Ground loop.
For more information:
https://monopricesupport.kayako.com/article/280-ground-loops
The interference is
only when the PC in the other room is on - correct?
No difference with and without the old Phillips TV being powered on or off.
Or the HDMI cable to the TV being connected or disconected from the PC?
Or the coax cable to the old Philips TV being connected or disconnected.
Unplug the PC and plug in a couple of other similar wattage devices. The idea being to verify for sure that it is the PC and not the power outlet.
Is the PC fully enclosed in its' case? Is the PC plugged into a three prong electrical outlet?