
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 that the sequence $\{a_n\}$ is a geometric sequence with the first term $a_1= \frac{1}{4}$ and the common ratio $q=\frac{1}{4}$, set $b_n = -2 + 3\log_{\frac{1}{4}}a_n$ for $n \in \mathbb{N}^*$. Another sequence $\{c_n\}$ satisfies $c_n=a_n \cdot b_n$.  
(Ⅰ) Find the sum of the first $n$ terms $S_n$ of the sequence $\{c_n\}$.  
(Ⅱ) If $c_n \leqslant \frac{1}{8}m^2 + \frac{3}{4}m - \frac{5}{8}$ holds for all positive integers $n$, find the range of values for the real number $m$.

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