
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 that the function $f(x)$ is an odd function with a domain of $(-\infty, +\infty)$, satisfying $f(1+x) = f(1-x)$, and if $f(1) = 2$, calculate the sum of the function values $f(1) + f(2) + f(3) + \cdots + f(2023)$.

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