
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 $\{a_{n}\}$, satisfying $S_{1}=1$, $2S_{n}=na_{n+1}$ where $n\in N^{*}$. The sum of the first $n$ terms of the sequence $\{b_{n}\}$ is denoted as $T_{n}$, and it satisfies ${b_n}=\frac{{{{({-1})}^n}•4{a_n}}}{{4a_n^2-1}}$. Find $T_{2023}$.

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