
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
There are four wooden triangles with side lengths of 3 cm, 4 cm, and 5 cm. How many different convex polygons can be made from all these triangles? Note: A convex polygon has all interior angles less than $180^{\circ}$ and has no holes.

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