
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 function $f(x) = 2|x-1| - a$, $g(x) = -|x+m|$ ($a, m \in \mathbb{R}$), if the inequality $g(x) > -1$ has exactly one integer solution, which is $-3$,
(Ⅰ) Find the value of the real number $m$;
(Ⅱ) If the graph of the function $y=f(x)$ is always above the graph of the function $y=g(x)$, find the range of values for the real number $a$.

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