
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 the line $l: \sqrt{3}x - y + 1 = 0$ and the equation $x^2 + y^2 - 2mx - 2y + m + 3 = 0$ representing a circle,
(Ⅰ) Determine the range of values for the real number $m$;
(Ⅱ) When $m = -2$, determine the positional relationship between line $l$ and this circle. If they intersect, calculate the length of the corresponding chord.

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