
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
In triangle \(ABC\), a median \(CM\) and an angle bisector \(BL\) were drawn. Then all the segments and points were erased from the diagram except for points \(A(2, 8)\), \(M(4, 11)\), and \(L(6, 6)\). What are the coordinates of point \(C\)?

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