VGA + 3.5 mm jack to HDMI

I have old LCD monitor with inbuilt speakers. It has VGA port along with 3.5 mm jack. I'd like to connect any streaming player to it using VGA to HDMI converter. Let's assume Amazon fire tv stick.

Problem here is with the sound output. How to accommodate 3.5 mm jack here because with HDMI converter I'll only get video.

Any suggestions regarding streaming devices which has 3.5 mm output? Or any work around for this situation?
 
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