
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 $f(x)=\sin (ωx+φ)$, where $ω > 0$ and $|φ| < \dfrac {π}{2}$.
(1) If $\cos \dfrac {π}{4}\cos φ-\sin \dfrac {3π}{4}\sin φ=0$, find the value of $φ$;
(2) Under the condition of (1), if the distance between the adjacent symmetry axes of the function $f(x)$ graph is $\dfrac {π}{3}$, find the analytical expression of the function $f(x)$; and find the smallest positive real number $m$ such that the function corresponding to the graph of $f(x)$ moving left by $m$ units is an even function.

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