
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 a strictly increasing function \( f: \mathbb{N}_0 \to \mathbb{N}_0 \) (where \( \mathbb{N}_0 \) is the set of non-negative integers) that satisfies the relation \( f(n + f(m)) = f(n) + m + 1 \) for any \( m, n \in \mathbb{N}_0 \), find all possible values of \( f(2023) \).

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