I want to output video to an external monitor from my PC, through the HDMI port. However it doesn't work...

I checked with other cable and other monitor but same situation. On the other hand, I can output to same monitors from other two computers, so the monitors and the cables are not the problem.

These are the specs of my system:

Processor Intel® Core™ i7-2630QM CPU @ 2.00GHz
Motherboard Fujitsu FJNB04F
Memory DDR3 16Gb
Video Card: Intel HD Graphics 3000
Model : Intel® HD Grap Processor: Intel® HD
OS: Windows 10 Pro

Initially it came with Windows 7 installed.
I remember I used the HDMI port once, but it was long ago, and before installing W10 (it was W7).

After a few years I installed W10.

The port is not broken, I checked it, almost never used, I never smashed the PC in any way so no mechanical shocks. Where should I look..?

But now I could see that Intel's HD Graphics 3000 drivers don't support W10 !!
Nevertheless, I have the drivers installed, as seen in Device Manager under Display adapters:

So hardware-wise there is no issue. But maybe this driver is the culprit...?

Then how can I solve the issue? Any hints appreciated.