
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 $f\left(x\right)=|ax+a-4|+x+1$.<br/>$(Ⅰ)$ If $a=2$, solve the inequality $f\left(x\right) \lt 9$;<br/>$(Ⅱ)$ If $x\geqslant 2$, the inequality $f\left(x\right)\leqslant \left(x+2\right)^{2}$ always holds. Find the range of real number $a$.

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