
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 certain police officer patrols on a motorcycle on a north-south road. One day he set off from the guard post and stayed at point $A$ in the evening. The direction towards the north is defined as positive. The patrol record for that day is as follows: (unit: kilometers) $+10$, $-8$, $+6$, $-13$, $+7$, $-12$, $+3$, $-2$.
$(1)$ How far is point $A$ from the guard post?
$(2)$ What is the farthest distance the police officer is from the guard post during the patrol?
$(3)$ If the motorcycle consumes $0.05$ liters of fuel per kilometer traveled, how much fuel does the motorcycle consume in total on that day?

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