
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 that $a$, $b$, $c$, $d$ represent $4$ different positive integers, satisfying $a+b^{2}+c^{3}+d^{4}=90$, where $d \gt 1$, find the maximum value of $a+b+c+d$.

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