
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
Jordan was issued an invoice of $\$600$ which was overlooked and incurred a $2\%$ late charge on the $30^{\text{th}}$ day past its due date. Thirty days after this, the total sum had another $2\%$ late fee added. Furthermore, Jordan requested a service which added an additional $30$ charge before the first late fee was applied. Calculate Jordan's total bill.

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