
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 that $\{a\_n\}$ is an arithmetic sequence, $\{b\_n\}$ is a positive geometric sequence, and $a\_1 = b\_1 = 2$, $a\_5 = 14$, $b\_3 = a\_3$.
(I) Find the general term formulas for $\{a\_n\}$ and $\{b\_n\}$;
(II) Find the sum of all terms in the sequence $\{a\_n\}$ that satisfy $b\_4 < a\_n < b\_6$.

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