Option 1: The Indian National Congress did not declare `Pooma Swaraj` as its goal in its Session in Lucknow, 1916. This Session was significant as it marked the reunion of the two major factions of the Congress - the Moderates and the Extremists.

Option 2: The Indian National Congress declared `Pooma Swaraj` as its goal in its Session in Lahore, 1929. This Session, also known as the Lahore Session, is famous for the adoption of the historic resolution demanding complete independence from British rule.

Option 3: `Pooma Swaraj` was not declared as the goal of the Indian National Congress in its Session in Tripuri, 1939. The Tripuri Session emphasized on the need for unity and cooperation between the Congress and the Muslim League.

Option 4: `Pooma Swaraj` was not declared as the goal of the Indian National Congress in its Session in Lahore, 1940. The Lahore Session of the Congress in 1940 is known for the famous Lahore Resolution, where the Muslim League demanded the creation of a separate nation for Muslims.

Therefore, the correct answer is option 2, Lahore, 1929.