
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
The Riemann function is a special function discovered by the German mathematician Bernhard Riemann, which has wide applications in mathematics. The Riemann function is defined on $\left[0,1\right]$, and its analytical expression is as follows: $R\left(x\right)=\left\{\begin{array}{l}\frac{1}{p},x=\frac{q}{p}(p,q \text{ are positive integers, }\frac{q}{p} \text{ is an irreducible proper fraction})\\ 0,x=0,1 \text{ or irrational numbers on }[0,1].\end{array}\right.$ If the function $f\left(x\right)$ is an odd function on $R$, and for any $x\in R$, $f\left(1+x\right)=-f\left(1-x\right)$, and when $x\in \left[0,1\right]$, $f\left(x\right)=R\left(x\right)$, then $f(2023)+f(\frac{2023}{2})+f(-\frac{2023}{3})=\_\_\_\_\_\_$.

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