
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 a function $f(x)=\left\{\begin{array}{l}{x^2}+2x+a-1,\;\;-3≤x≤0,\\-{x^2}+2x-a,\;\;\;0＜x≤3.\end{array}\right.$ When $a=0$, the minimum value of $f(x)$ is ____; if for any $x$ in the domain, $f(x)\leqslant |x|$ always holds, then the range of real number $a$ is ____.

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