Let the lines \( (2-\mathrm{i}) z=(2+\mathrm{i}) \bar{z} \) and \( (2+\mathrm{i}) z+(\mathrm{i}-2) \bar{z}-4 \mathrm{i}=…

Let the lines \( (2-\mathrm{i}) z=(2+\mathrm{i}) \bar{z} \) and \( (2+\mathrm{i}) z+(\mathrm{i}-2) \bar{z}-4 \mathrm{i}=0\) here \( i^{2}=-1 \) be normal to a circle \( \mathrm{C} \). If the line \( i z+\bar{z}+1+i=0 \) is tangent to this circle \( C \), then its radius is:

[JEE Main 2021, 25 Feb (Shift 1)]