
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 the expression $(x^{2}+ \frac {2}{x})^{n}$, where $n\in N^{*}$.
- (I) When $n=6$, find the constant term in the binomial expansion.
- (II) If in the binomial expansion of $(x^{2}+ \frac {2}{x})^{n}$, the binomial coefficient of the third term is equal to the binomial coefficient of the seventh term, find the coefficient of the middle term in the expansion.

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