[kangnkodos]

My message in round 1 would be:

"340958123405982

In order to decide who the leader is:

Before every round, I'm going to flip a coin before I send the next message out. Heads I'll stick with my method of deciding who the leader is for the round. Tails, I'll switch to your method of deciding on the leader for the round.

If I get heads, in the next round, I will send you this same message but starting with a different random integer from one to any size. If we both send each other this same exact message but starting with a different integer, in the same round, then whoever sends the largest integer, gets to be the leader and we will follow their plan."

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Next round and every round after:

If heads, I'll send out the same message but starting with a different random integer.

If tails, I'll follow their method of selecting a leader.

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If it ever reaches a point where we both send each other the exact same message except for the integer, and my integer was the largest one, my next message would be (or if their method ends up with me being the leader):

"I am the leader. We will both announce red in the next round"

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If it ever reaches a point where we both send each other the exact same message except for the integer, and my integer was the smaller one, my next message would be (or if their method ends up with them being the leader):

"You are the leader. I will follow the plan you sent me in this round."

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If we send each other the exact same message and the integers are tied, in the next round I flip a coin and if heads, send out the same long message again.