
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 the coefficient of $x^2$ in the expansion of $\left(1+x\right)^{n}$, where $n\in \mathbb{N}^{*}$, be denoted as $a_{n}$. Find the value of $\frac{1}{{a}_{2}}+\frac{1}{{a}_{3}}+\frac{1}{{a}_{4}}+\cdots+\frac{1}{{a}_{2023}}$.

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