
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
In the Cartesian coordinate system, point $P(x, y)$ is transformed into point $P'(-y+1, x+2)$. Given that the terminal point of point $P_{1}$ is $P_{2}$, the terminal point of point $P_{2}$ is $P_{3}$, the terminal point of point $P_{3}$ is $P_{4}$, and so on until $P_{n}$, if the coordinates of point $P_{1}$ are $(2, 0)$, determine the coordinates of point $P_{2023}$.

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