
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 an "L-shaped" arrangement composed of 4 congruent squares labeled A, B, C, and D, and an additional congruent square connected to edge at one of seven indicated positions, determine the number of resulting configurations that can be folded to form a cube with one face missing.

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