
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
A function \( h \) is defined recursively by \( h(1)=h(2)=2 \) and \[ h(n)=h(n-1)-h(n-2)+2n \] for all integers \( n \geq 3 \). What is \( h(2023) \)?

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