If \(\tan \left(\frac{\pi}{9}\right), x, \tan \left(\frac{7 \pi}{18}\right)\) are in A.P and \(\tan \left(\frac{\pi}{9}\…

If \(\tan \left(\frac{\pi}{9}\right), x, \tan \left(\frac{7 \pi}{18}\right)\) are in A.P and \(\tan \left(\frac{\pi}{9}\right), y, \tan \left(\frac{5 \pi}{18}\right)\) are also in A.P

Then, \(|x-2 y|=\)

[JEE Main 2021, 27 Jul (Shift 2)]