
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 $i$ as the imaginary unit and $a$ as a real number, the complex number $z=(a-2i)(1+i)$ corresponds to point $M$ in the complex plane, determine the relationship between the condition $a=1$ and the statement "point $M$ is in the fourth quadrant".

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