
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 point $D(0,3,0)$, plane $\alpha$ passes through point $C(1,2,0)$ and is perpendicular to the vector $\overrightarrow{n}=(1,0,1)$. Find the distance from point $D$ to plane $\alpha$.

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