
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
$(1)$ Calculate: $\sqrt{8}-(\frac{1}{2})^{-1}+4\sin 30^{\circ}$<br/>$(2)$ Simplify first, then evaluate: $\frac{{m}^{2}-9}{{m}^{2}+6m+9}\div (1-\frac{2}{m+3})$, where $m=2$.

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