
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
Taxi driver Xiao Wang operated on a road that runs east to west one afternoon. If east is denoted as "$+$" and west as "$-$", his driving situation that afternoon was as follows: ($1$ kilometer) $-2$, $+5$, $-1$, $+10$, $-3$, $-2$, $-5$, $+6$. Please solve the following problems:  
$(1)$ When Xiao Wang drops off the last passenger at the destination, he is on the ______ side of the starting point in the afternoon, and is ______ kilometers away from the starting point.  
$(2)$ Calculate the maximum distance from the starting point during the operation.  
$(3)$ If it is stipulated that the starting price for each trip is $10$ yuan, and within $3$ kilometers (including $3$ kilometers), only the starting price is charged. If it exceeds $3$ kilometers, in addition to the starting price, an extra $3$ yuan is charged for each kilometer over $3$ kilometers. Xiao Wang's taxi consumes $0.1$ liters of fuel per kilometer, and the price of gasoline is $9$ yuan per liter, neglecting vehicle wear and tear. Was Xiao Wang profitable or at a loss this afternoon? How much profit or loss in yuan?

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