
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
In triangle $ABC$, the side lengths opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. The vector $\overrightarrow{m}=(a, \sqrt{3}b)$ is parallel to the vector $\overrightarrow{n}=(\cos A, \sin B)$.
(1) Determine the value of angle $A$.
(2) If $a=2$, determine the range of possible values for $b+c$.

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