
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 polygon is made by arranging 3 congruent squares labeled $A$, $B$, and $C$ in an "L" shape (where $A$ and $B$ share an edge, and $B$ and $C$ share an edge at another end of $B$). Another congruent square can be attached either to the left of square $A$ or to the right of square $C$. How many of the two placements allow the resulting polygon to be folded into a tetrahedron (three-dimensional shape with triangular faces)?
A) None
B) 1
C) 2
D) 3

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