
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 maintenance team travels along an east-west road to inspect the route of a car. It is agreed that traveling east is positive. One day, from point $A$ to the end of work, the walking records are as follows (unit: $km): +15, -2, +5, -1, +10, -3, -2, +12, +4, -5, +6$<br/>$(1)$ At the end of work, which side of point $A$ is the maintenance team on, and how far away from point $A$ are they?<br/>$(2)$ If the car consumes 3 liters of fuel per kilometer, and it is known that there are 180 liters of gasoline in the fuel tank when the car departs, do they need to refuel halfway before the end of work? If so, how many liters should be refueled? If not, how many liters of gasoline are left?

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