Apply RGB colors to HSV one-color image

Question

I have a HSV image( PNG ) with one color and white(transparent) background. I want to change the image's color with the following RGB values:

rgb(197, 140, 133);
rgb(236, 188, 180); 
rgb(209, 163, 164); 
rgb(161, 102, 94); 
rgb(80, 51, 53);
rgb(89, 47, 42);

After the color is changed I need to make the white background transparent. I suppose this is done via alpha channel=0, but it's unclear to me how. How do I do this? I'd like to understand the way RGB->HSV->BGR conversions works, I'll need it in the future.

So far, I've been testing in Python & CV2 and I managed to change the Hue to a random value, but it's not the solution I need.

P.S. I do NOT own this picture, it's used just for the demo.