
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 Master Liu started from point $A$ one morning and operated on a highway in the east-west direction. The table below shows the distance traveled each time (unit: kilometers) (positive for eastward and negative for westward; $\times$ indicates empty, and 〇 indicates carrying passengers, and the passengers are all different).

| Time | 1   | 2    | 3    | 4   | 5   | 6   | 7   | 8   |
|------|-----|------|------|-----|-----|-----|-----|-----|
| Distance | -3 | -15  | +19  | -1  | +5  | -12 | -6  | +12 |
| Passenger | $\times$ | 〇 | 〇 | $\times$ | 〇 | 〇 | 〇 | 〇 |

$(1)$ After Master Liu completed the 8th trip, in which direction is he from point $A$? How far is he from point $A$ in kilometers?  
$(2)$ It is known that the taxi consumes about 0.06 liters of fuel per kilometer. Master Liu had 7 liters of fuel in the tank before starting the operation. If it is less than 2 liters, he needs to refuel. Calculate whether Master Liu needs to refuel midway that morning.  
$(3)$ It is known that the fare is $10$ yuan within 2 kilometers when carrying passengers, and after exceeding 2 kilometers, the fare is $1.6$ yuan per kilometer. How much is the total revenue for Master Liu after completing the 8 trips that morning?

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