
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 functions $f(x)=2|x-1|-a$ and $g(x)=-|x+m|$ where $a, m \in \mathbb{R}$, the inequality $g(x) > -1$ has exactly one integer solution, $x = -3$.

(Ⅰ) Find the value of the real number $m$.  
(Ⅱ) If the graph of $y = f(x)$ is always above the graph of $y = g(x)$, find the range of the real number $a$.

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