
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 $f(x)=2\sin (ωx+φ)$, $(ω > 0,|φ| < \dfrac {π}{2})$ with a minimum positive period of $π$ and its graph symmetric about $x= \dfrac {π}{3}$.
(1) Find the values of $ω$ and $φ$;
(2) If the graph of $f(x)$ is stretched horizontally by a factor of $4$ and shifted to the right by $\dfrac {π}{3}$ units to obtain the graph of $g(x)$, find the interval(s) where $g(x)$ is increasing, and the range of $x$ values for which $g(x) \geqslant 1$.

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