
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 a circle $C: x^{2}+y^{2}-8y+12=0$, and a line $l$ passing through point $D(-2,0)$,  
(Ⅰ) Find the equation of circle $E$ which has the line segment $CD$ as its diameter;  
(Ⅱ) If line $l$ intersects circle $C$ at points $A$ and $B$, and $\triangle ABC$ is an isosceles right triangle, find the equation of line $l$.

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