
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 curves \( C_{1}: \frac{x^{2}}{a^{2}}+y^{2}=1 \) (where \( a \) is a positive constant) and \( C_{2}: y^{2}=2(x+m) \), if they have only one common point \( P \) above the \( x \)-axis, find the range of the real number \( m \).

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