
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
Let $S_{n}$ be the sum of the first $n$ terms of the sequence ${a_{n}}$. Given that $a_{n} > 0$ and $a_{n}^{2}+a_{n}=2S_{n}+2$.

(I) Find the general term formula for ${a_{n}}$.
(II) Let $b_{n}=\frac{2}{a_{n}a_{n+1}}$, find the sum of the first $n$ terms, denoted as $T_{n}$, of the sequence ${b_{n}}$.

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