
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 $f(x) = e^x(x^2 - 2x + a)$ (where $a \in \mathbb{R}$, $a$ is a constant, and $e$ is the base of the natural logarithm).
(Ⅰ) Discuss the monotonicity of the function $f(x)$;
(Ⅱ) Suppose the tangent line to the curve $y = f(x)$ at $(a, f(a))$ is $l$, when $a \in [1, 3]$, find the range of the y-intercept of the line $l$.

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