How to draw the asymptotes of the tangent function as red dashed lines?

Plot[Tan@x, {x, -2 [Pi], 2 [Pi]}, ExclusionsStyle → {Dashed, Red},
Exclusions → “Discontinuities”]

How to draw the asymptotes of the tangent function as red dashed lines?

Maybe something like this:

Plot[Tan@x, {x, -2 Pi, 2 Pi}, ExclusionsStyle -> Directive[Dashed, AbsoluteThickness[5], Red]]

exclusions.bmp (943 KB)

FWIW, the documentation for ExclusionsStyle spells this out.