
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
In $\triangle ABC$, the following $4$ conditions are given:<br/>① $\angle C=90^{\circ}$;<br/>② $\angle A+\angle B=\angle C$;<br/>③ $a:b:c=3:4:5$;<br/>④ $\angle A:\angle B:\angle C=3:4:5$.<br/>Among these conditions, we can determine that $\triangle ABC$ is a right triangle if ____ is chosen. (Fill in the number)

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