
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 $xOy$, where $O$ is the origin, the "rectangular distance" between two points $P(x_1, y_1)$ and $Q(x_2, y_2)$ is defined as $d(P, Q) = |x_1 - x_2| + |y_1 - y_2|$. If point $A(-1, 3)$, then $d(A, O) = \ $; Given $B(1, 0)$, and point $M$ is a moving point on the line $x - y + 2 = 0$, then the minimum value of $d(B, M)$ is $\ $.

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