Is it permissible to get a tattoo for eyebrows afflicted with eczema and hair loss, knowing that tattooing is a form of permanent body modification and that wigs are permissible in cases of hair loss?

It is permissible to use a suitable hair dye to compensate for hair loss if it is removed during ritual purification (tahara) or does not prevent water from reaching the skin. However, it is forbidden to inject dyes into the skin because it resembles the prohibited tattooing. As for wigs, scholars have differed concerning them, but the preponderant opinion is that they are permissible for a married woman.