
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 $f(x)=2 \sqrt {3}\sin \dfrac {ωx}{2}\cos \dfrac {ωx}{2}+6\cos ^{2} \dfrac {ωx}{2}-3(ω > 0)$
(1) If $y=f(x+θ)(0 < θ < \dfrac {π}{2})$ is an even function with the smallest positive period of $π$, find the values of $ω$ and $θ$;
(2) If $g(x)=f(3x)$ is an increasing function on $(0, \dfrac {π}{3})$, find the maximum value of $ω$.

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