The correct answer is option 3, which states that the Andaman and Nicobar Command is an integrated theater Command operating directly under the Chiefs of Staff Committee.

Option 1 is incorrect, as the Andaman and Nicobar Command is not solely a Command of the Indian Army. It is a joint command consisting of personnel from the Indian Army, Indian Navy, Indian Air Force, and Indian Coast Guard.

Option 2 is also incorrect, as the Andaman and Nicobar Command is not a regional Command of the Indian Coast Guard. While the Indian Coast Guard does operate in the Andaman and Nicobar Islands, the Command itself is a higher-level entity that encompasses all branches of the Indian military.

Option 4 is partially correct, as the Andaman and Nicobar Command does involve the Indian Navy and the Indian Air Force. However, it is not solely a joint Command of these two forces. As mentioned earlier, it also includes personnel from the Indian Army and the Indian Coast Guard.

Therefore, the most accurate answer is option 3, which correctly identifies the Andaman and Nicobar Command as an integrated theater Command operating directly under the Chiefs of Staff Committee.