
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
Consider a square with its diagonals and another set of line segments joining the midpoints of opposite sides. Additionally, draw a point at the center of the square and connect this center point with all vertices and midpoints of the square. Calculate the total number of triangles formed in this new configuration.

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