
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 $x^2+(y-2)^2=4$ and a point $A(2, -2)$ outside the circle, draw two tangents to the circle from point $A$, with the points of tangency being $T_1$ and $T_2$. Find the equation of the line $T_1T_2$.

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