
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 point M be such that the ratio of its distance from the origin to its distance from the line $l: x = -m$ ($m > 0$) is a constant $\frac{\sqrt{2}}{2}$.  
(Ⅰ) Find the trajectory of point M;  
(Ⅱ) If the curve obtained when $m=1$ is C, and curve C is translated one unit to the left to obtain curve E, a line $l_1$ passing through point P(-2, 0) intersects curve E at two distinct points A($x_1$, $y_1$) and B($x_2$, $y_2$). Lines AF and BF passing through F(1, 0) intersect curve E at points D and Q, respectively. If $\overrightarrow{AF} = \alpha \overrightarrow{FD}$ and $\overrightarrow{BF} = \beta \overrightarrow{FQ}$, with $\alpha, \beta \in \mathbb{R}$, find the range of values for $\alpha + \beta$.

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