
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
A wizard is counting the value of magical items he collected from the Mystic Tower, where values are recorded in base 7. In his collection, he has a crystal ball valued at $6243_7$, a wand valued at $1650_7$, and a book of spells valued at $202_7$. What is the total value of his collection expressed in base 10?

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