
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
Let the complex number $z=a+i$ (where $i$ is the imaginary unit, $a\in \mathbb{R}$, $a > 0$), and $| z |=\sqrt{10}$.

(Ⅰ) Find the complex number $z$;

(Ⅱ) In the complex plane, if the point corresponding to the complex number $\bar{z}+\frac{m+i}{1-i}$ ($m\in \mathbb{R}$) is in the fourth quadrant, find the range of the real number $m$.

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