
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 $f(x) = x^2 - 2ax + 4(a - 1) \ln(x + 1)$, where the real number $a < 3$,
(Ⅰ) Determine whether $x = 1$ is an extremum of the function $f(x)$, and explain the reason;
(Ⅱ) If $f(x) \leq 0$ always holds on the interval $[0, 1]$, find the range of values for $a$.

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