
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
Find all values of the parameter \( b \) for which the inequality \(\operatorname{tg}^{2} x + 4(a + b) \operatorname{tg} x + a^{2} + b^{2} - 18 < 0\) is satisfied for every \( x \in [-\pi / 4 ; \pi / 4] \) and for any value of the parameter \( a \in [-1 ; 2] \).

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