
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 $f(x) = x^2 - ax$ ($a \neq 0$), and $g(x) = \ln x$, the graph of $f(x)$ intersects the x-axis at point M (M is different from the origin), and the tangent line to $f(x)$ at M is $l_1$. The graph of $g(x-1)$ intersects the x-axis at point N, and the tangent line at this point is $l_2$. Moreover, $l_1$ is parallel to $l_2$.  
(Ⅰ) Find the value of $f(2)$.  
(Ⅱ) Given a real number $t \in \mathbb{R}$, find the minimum value of the function $y = f[xg(x) + t]$, where $x \in [1, e]$.

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