
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 that in a Cartesian coordinate system, points A(-3,0), B(0,3), C(3,0), and O(0,0) are defined, and $\overrightarrow{OQ}=m\overrightarrow{OA}+(1-m)\overrightarrow{OB}$ where $m\in\mathbb{R}$, and the magnitude of vector $\overrightarrow{CD}$ is 1, find the minimum value of $|\overrightarrow{OQ}-\overrightarrow{OD}|$.

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