
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 $f(x) = (x^3 - 6x^2 + 3x + t)e^x$, where $t \in \mathbb{R}$.

(Ⅰ) If the function $y = f(x)$ takes extreme values successively at $x = a$, $x = b$, and $x = c$ ($a < b < c$), find the range of values for $t$.

(Ⅱ) If there exists a real number $t \in [0, 2]$ such that for any $x \in [1, m]$, the inequality $f(x) \leq x$ always holds, find the maximum value of the positive integer $m$.

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