
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 moving circle \\(C: (x-m)^{2}+(y-2m)^{2}=m^{2} \\) where \\(m > 0\\),

(Ⅰ) When \\(m=2\\), find the equation of the line \\(l\\) that passes through the origin and is tangent to the circle \\(C\\);

(Ⅱ) If circle \\(C\\) is internally tangent to the circle \\(E: (x-3)^{2}+y^{2}=16\\), find the value of the real number \\(m\\).

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