How to create stroke effect?

I have this image.
When I create stroke in GIMP it is clean and smooth.
How can I create effect of this grunge, natural paintbrush but such that blends ?

Stylize, then embossing. Something on that line.

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Not sure about embossing. I am not a digital painter but I would emulate this by painting the image (clean and smooth) first, then adding the texture and relief in successive layers.

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style transfer?

Possible but it usually gives a Frankenstein result, which isn’t natural, but I guess one could use it as a base.

If possible, without style transfer. I don’t want to just copy it.