
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 point lies on the straight line joining $(3, 6)$ and $(-1, 8)$. If this point has a y-coordinate of 2, find the distance of this point from $(3,6)$.
A) $\sqrt{13}$
B) $2\sqrt{13}$
C) $\sqrt{52}$
D) $4\sqrt{13}$
E) $6\sqrt{13}$

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