
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 $f(x)=2 \sqrt {3}\sin (2ωx+ \frac {π}{3})-4\cos ^{2}ωx+3(0 < ω < 2)$, and the axis of symmetry of the graph of $y=f(x)$ is $x= \frac {π}{6}$.
(1) Find the value of $ω$ and the minimum value of $f(x)$;
(2) In $\triangle ABC$, $a$, $b$, $c$ are the sides opposite to the angles $A$, $B$, $C$ respectively, and $a=1$, $S_{\triangle ABC}= \frac { \sqrt {3}}{4}$, $f(A)=2$, find the perimeter of $\triangle ABC$.

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