
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
An infinite sequence $\{a_{n}\}$ satisfies: if $a_{p}=a_{q}$ for any $p$ and $q$ in $\mathbb{N}^{*}$, then $a_{p+1}=a_{q+1}$, then the sequence $\{a_{n}\}$ is called a "harmonious progressive sequence." If $\{a_{n}\}$ is a "harmonious progressive sequence" and $a_{1}=1$, $a_{2}=2$, $a_{4}=1$, $a_{6}+a_{8}=6$, then $a_{7}=$______, $S_{n}$ is the sum of the first $n$ terms of the sequence $\{a_{n}\}$, then $S_{2022}=\_\_\_\_\_\_$.

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