
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 $$\overrightarrow {a} = (2 \sqrt {3}\sin x, \sin x + \cos x)$$ and $$\overrightarrow {b} = (\cos x, \sin x - \cos x)$$, and the function $f(x) = \overrightarrow {a} \cdot \overrightarrow {b}$.  
(I) Find the interval of monotonic decrease for the function $f(x)$.  
(II) In triangle ABC, where the sides opposite angles A, B, and C are denoted as a, b, and c respectively, and it's given that $b^2 + a^2 - c^2 = ab$. If $f(A) - m > 0$ always holds, find the range of the real number $m$.

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