
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 the sum of the first $n$ terms of the sequence $\{a\_n\}$ is $S\_n$, and $a\_n = 3 - S\_n$. The sequence $\{b\_n\}$ is an arithmetic sequence with $b\_5 = 15$ and $b\_7 = 21$.
(I) Find the general term formula $a\_n$ for the sequence $\{a\_n\}$.
(II) Remove the terms in the sequence $\{ \frac{1}{a\_n} \}$ whose positions correspond to the terms in the sequence $\{b\_n\}$, and arrange the remaining terms in ascending order to form a new sequence $\{c\_n\}$. Find the sum of the first 2016 terms in this new sequence.

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