
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 inequality about $x$, $$\sqrt {2-x}+ \sqrt {x+1} < m$$ holds for any $x \in [-1, 2]$  
(Ⅰ) Find the range of values for $m$;  
(Ⅱ) Under the condition of (Ⅰ), find the minimum value of the function $f(m) = m + \frac {1}{(m-2)^{2}}$.

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