
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 $f(x)=\cos x(\sin x+ \sqrt {3}\cos x)- \frac { \sqrt {3}}{2}$, $(x\in\mathbb{R})$, assume $a > 0$, if the function $g(x)=f(x+\alpha)$ is an odd function, then the value of $\alpha$ is __________.

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