
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 an arithmetic sequence $\{a\_n\}$ with a common ratio not equal to $1$, it satisfies: $a\_3=3$, $S\_3=9$, where $S\_n$ is the sum of the first $n$ terms of the sequence $\{a\_n\}$.
(I) Find the general term formula of the sequence $\{a\_n\}$;
(II) Let $b\_n=\log \_2 \frac {3}{a\_{2n+3}}$, and $c\_n=\frac {4}{b\_n\cdot b\_{n+1}}$, find the sum of the first $n$ terms $T\_n$ of the sequence $\{c\_n\}$.

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