
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 a line \\(l\\) passing through point \\(M(2,1)\\) intersects with the circle \\(C:(x-3)^2+(y-4)^2=25\\) at points \\(A\\) and \\(B\\), with \\(C\\) being the center of the circle. When \\(\angle ACB\\) is minimized, the equation of line \\(l\\) is \_\_\_\_\_\_\_\_\_\_\_\_

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