
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
If the graph of the function $f\left(x\right)=\left\{\begin{array}{l}{f(x+2),x≥0}\\{h(x),x＜0}\end{array}\right.$ is symmetric with respect to the origin, and $f\left(5\right)=1$, calculate $h\left(-2022\right)+h\left(-2023\right)+h\left(-2024\right)$.

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