
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 $f(x)=2\cos ^{2}(x- \frac {π}{6})- \sqrt {3}\sin 2x+1$,
(I) Find the interval(s) where $f(x)$ is monotonically increasing;
(II) If $f(x) \geqslant \log _{2}t$ holds true for all $x \in ( \frac {π}{6}, \frac {π}{2})$, find the range of $t$.

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