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Monitor doesn’t accept connection from DVI to HDMI

I have 2 monitors, an LG Ultragear 24GN600 and an old monitor (LG 24MT49DF-PS), which has an HDMI and AV port. My PC (no GPU) has an HDMI and a DVI port.

The ultragear accepts signals from both direct HDMI and from the DVI adapter (though limited to only 60Hz, instead of 144hz that I get directly from HDMI)
The old monitor accepts signal only from direct HDMI, using the adapter shows no signal (not even a detection from Windows)

Tried changing cables, restarting the PC and the monitor but nothing.

What can I do?