
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 complex number \( z_{1} \) satisfying \( (1+\mathrm{i}) z_{1} = -1 + 5 \mathrm{i} \) and \( z_{2} = a - 2 - \mathrm{i} \), where \( \mathrm{i} \) is the imaginary unit and \( a \in \mathbb{R} \). If \( \left|z_{1} - \overline{z_{2}}\right| < \left|z_{1} \right| \), find the range of values for \( a \).

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