
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 graph of the function $y=f\left(x\right)$ is symmetric about the $y$-axis, we obtain the graph of $y=g\left(x\right)$. When the functions $y=f\left(x\right)$ and $y=g\left(x\right)$ are both increasing or decreasing on the interval $\left[a,b\right]$, the interval $\left[a,b\right]$ is called the "stationary interval" of the function $y=f\left(x\right)$. If the interval $\left[1,2022\right]$ is the "stationary interval" of the function $y=|10^{x}-t|$, then the range of real number $t$ is ____.

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