
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
During a rescue mission in a disaster relief operation, firefighters used a speedboat to rescue victims along a river flowing east to west. They departed from point $A$ in the morning and arrived at point $B$ in the evening. The daily navigation distances are recorded as follows (unit: $km): +14$, $-9$, $+8$, $-7$, $+13$, $-6$, $+10$, $-5$.  
$(1)$ By calculation, determine the direction of point $B$ relative to point $A$ (choose "east" or "west"), and the distance between point $A$ and point $B$ in kilometers.  
$(2)$ The farthest distance from the starting point $A$ during the rescue mission is ______ $km$.  
$(3)$ If the speedboat consumes 0.5L of fuel per kilometer, and the fuel tank capacity is 29L, how many liters of fuel need to be refilled during the journey?

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