
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
Let $A = (-4, 3)$ and $B = (4, -3).$ A drone flies in a coordinate plane, only moving in lines parallel to the $x$ or $y$ axis. Consider all possible paths of the drone from $A$ to $B$ of length at most 22. Find the number of points with integer coordinates that lie on at least one of these paths.

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