
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Four friends - Alan, Beth, Charlie, and Dana - play a game starting with $1 each. A bell rings every 10 seconds, at which time each of those who have money chooses one of the other three players at random to give $1. Find the probability that after the bell has rung 2023 times, each player will have $1.

Present the answer in LaTex format: \boxed{Your answer}
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