
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 an east-west avenue. One day he departed from the guard post and stayed at location $A$ in the evening. The travel records for that day are as follows (unit: kilometers): $+10$, $-8$, $+6$, $-13$, $+7$, $-12$, $+3$, $-1$.
$(1)$ By calculation, determine the direction of location $A$ relative to the guard post and the distance from the guard post.
$(2)$ If the motorcycle consumes $0.05$ liters of fuel per kilometer, calculate the total fuel consumption for the patrol that day.
$(3)$ There is a gas station $6$ kilometers east of the guard post. The police officer passed the gas station ____ times during the patrol.

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