
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 two lines $l_1: 2x+y=3$ and $l_2: x-y=0$ intersect at point $A$.
(Ⅰ) Find the equation of line $l_3$ that passes through point $A$ and is perpendicular to line $l_1$.
(Ⅱ) Find the minimum distance between line $l_1$ and line $l_4: 4x+2y+m^2+1=0$.

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