
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 operation $a \diamond b = \sqrt{a^2 - b^2}$ when $a \geq b$, and $a \diamond b = 0$ when $a < b$. Evaluate $(8 \diamond 6) \diamond (10 \diamond 8)$.

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