
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
Let the function $$f(x)=\cos(2x+ \frac {\pi}{3})+\sin^{2}x$$.
(1) Find the smallest positive period of the function $f(x)$;
(2) Let $\triangle ABC$ have its internal angles at $A$, $B$, $C$ with opposite sides $a$, $b$, $c$ respectively. If $$c= \sqrt {6}$$, $$\cos B= \frac {1}{3}$$, and $$f( \frac {C}{2})=- \frac {1}{4}$$, find $b$.

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