
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 function $f(x)= \begin{cases} x^{2}+\sin \left(x+ \frac {\pi}{3}\right), & x > 0\\ -x^{2}+\cos \left(x+\alpha \right), & x < 0\end{cases}$, where $\alpha\in[0,2\pi)$ is an odd function, then $\alpha=$ ______.

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