
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
Given four points \( A, B, C, \) and \( D \) in space that are not coplanar, each pair of points is connected by an edge with a probability of \( \frac{1}{2} \). The events of whether any two pairs of points are connected are mutually independent. What is the probability that \( A \) and \( B \) can be connected by a spatial path (composed of one edge or a series of edges)?

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