
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 that there are three points on the coordinate plane: \( O(0,0) \), \( A(12,2) \), and \( B(0,8) \). A reflection of \( \triangle OAB \) along the straight line \( y = 6 \) creates \( \triangle PQR \). If the overlapped area of \( \triangle OAB \) and \( \triangle PQR \) is \( m \) square units, find the value of \( m \).

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