
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
It is known that $O$ is the origin of coordinates, $\overrightarrow{OA}=(2\cos x, \sqrt{3})$, $\overrightarrow{OB}=(\sin x + \sqrt{3}\cos x,-1)$, and if $f(x)=\overrightarrow{OA} \cdot \overrightarrow{OB}+2$.
Ⅰ) Find the interval over which the function $f(x)$ is monotonically decreasing;
Ⅱ) When $x \in \left(0, \frac{\pi}{2}\right)$, if the equation $f(x)+m=0$ has a root, find the range of values for $m$.

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