
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
In $\triangle ABC$, the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively, and $(a+b+c)(a+b-c)=3ab$.
(I) Find angle $C$;
(II) Find the range of the function $f(x)= \sqrt {3}\sin (2x- \frac {C}{2})+2\sin ^{2}(x- \frac {π}{12})$ on the interval $[0, \frac {π}{2}]$.

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