
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
Charlie, Ben, and Laura all start jogging around a park at 7:00 AM. Charlie completes a lap every 5 minutes, Ben finishes a lap every 8 minutes, and Laura, who takes a 2-minute break after each lap, finishes a lap every 9 minutes counting the break. What is the earliest time when all three will be back at the starting point together?

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