
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
Define $|\begin{array}{l}{a}ㅤ{b}\\{c}ㅤ{d}\end{array}|$ as a second-order determinant, and the operation rule is defined as $|\begin{array}{l}{a}ㅤ{b}\\{c}ㅤ{d}\end{array}|=ad-bc$. For example, $|\begin{array}{l}{5}ㅤ{6}\\{7}ㅤ{8}\end{array}|=5\times 8-6\times 7=-2$. Find the value of $|\begin{array}{l}{2022}ㅤ{2023}\\{2021}ㅤ{2022}\end{array}|$; If $|\begin{array}{l}{m+2}ㅤ{m-2}\\{m-2}ㅤ{m+2}\end{array}|=16$, find the value of $m$.

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