If $\tan \theta + \tan \bigg(\theta +\large\frac{\pi}{3}\bigg)$$+\tan \bigg(\theta +\large\frac{2 \pi}{3}\bigg)$$=3$,then which of the following is equal to 1?

Question

\[\begin {array} {1 1} (1)\;\tan 2 \theta & \quad (2)\;\tan 3 \theta \\ (3)\;\tan ^2 \theta & \quad (4)\;\tan ^3 \theta \end {array}\]