
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 vectors $\overrightarrow{a}=(4,2)$, $\overrightarrow{b}=(-1,2)$, $\overrightarrow{c}=(2,m)$.
(1) If $\overrightarrow{a} \cdot \overrightarrow{c} < m^{2}$, find the range of values for the real number $m$;
(2) If vector $\overrightarrow{a}+ \overrightarrow{c}$ is parallel to $\overrightarrow{b}$, find the value of $m$.

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