
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 \\(m \in \mathbb{R}\\), the complex number \\(z = (1+i)m^{2} - mi - 1 - 2i\\) where \\(i\\) is the imaginary unit.  
(Ⅰ) For what value of the real number \\(m\\) is the complex number \\(z\\) purely imaginary;  
(Ⅱ) If the complex number \\(z\\) corresponds to a point in the third quadrant on the complex plane, find the range of values for the real number \\(m\\).

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