
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
Let $\{a\_n\}$ be a monotonically increasing sequence with first term $a\_1=4$, and it satisfies $a_{n+1}^{2}+a_{n}^{2}+16=8(a_{n+1}+a_{n})+2a_{n+1}⋅a_{n}$, $n∈N^{*}$. Find the value of $a_{1}-a_{2}+a_{3}-a_{4}+…+a_{2n-1}-a_{2n}$.

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