
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 an advanced mathematics class, the teacher defined an operation "※" for $n \in \mathbb{N}$, which satisfies the following properties:
1. $2※2=1$;
2. $(2n+2)※2=(2n※2)+3$.

Find the value of $1024※2$.

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