
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 $f(x)=\sin (2x+ \frac {π}{6})+ \sin (2x- \frac {π}{6})- \cos 2x+a (a \in R, a$ is a constant).
(1) Find the smallest positive period and the monotonically increasing interval of the function $f(x)$;
(2) If the graph of function $f(x)$ is shifted left by $m(m > 0)$ units to obtain the graph of function $g(x)$, and the graph of $g(x)$ is symmetrical about the $y$-axis, find the minimum value of the real number $m$.

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