
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 $f\left(x\right)=\sin \left(2x+\frac{π}{6}\right)$, its graph is shifted to the left by $\frac{π}{4}$ units and then down by $1$ unit to obtain the graph of function $g\left(x\right)$. Find one of the symmetry centers of $g\left(x\right)$.

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