Does anyone happen to know the name of this specific cable? I'd like to buy it online, if possible. Any advice or links would be super helpful.

I'm looking for the female variant of the white end of the same cable above.

 

I googled 4 pin audio connector and found some similar looking connectors.

https://www.google.com/search?q=4pin...i7jwWrF7G1XQzM

Not sure if this helps but I would click on any link and see what they call it on each website.

Once you find out the name google the name and search either female or male end of it.