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

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