
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 beetle starts at point A and wishes to reach point C, moving through a lattice configuration with directional restrictions marked by arrows. The lattice is shaped like a square grid instead of hexagonal and includes intermediate points (B, D, E, F, G, H). The beetle moves from A to B, B to D or E, D to F or G, and E to G or H, and finally from F, G, H to C. Each segment can only be used in the arrow-indicated direction and only once. How many different paths can the beetle take to reach point C?
A) 4
B) 5
C) 6
D) 7
E) 8

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