How did the battle of okinawa affect president truman‘s decision to use the atomic bomb against japan?

The Battle of Okinawa was a fierce one in which both the Allies and the Japanese Army suffered significative losses. Fearing that the conflict could go on and on, not knowing that the Japanese were ready to surrender and willing to bring a quick end to the war, President Harry S. Truman chooses to drop the atomic bomb against Japan. As we know, the bomb struck Hiroshima and Nagasaki on August 6th and 9th, 1945 and brought Japan to a swift surrender.

The battle of Okinawa affected President Truman's decision to use the atomic bomb against Japan because, on one hand, Japan didn't want to surrender, even though the USA warned them that more destruction would continue after the battle by using the atomic bomb.

On the other hand, Truman knew that more than 2 million Japanese troops were waiting to fight. Therefore, after the Allies agreed, Truman decided to drop an atomic bomb on Japan (Hiroshima and Nagasaki).

4 is the oni could think of