
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 the Cartesian coordinate system xOy, the parametric equation of parabola C is
$$
\begin{cases}
x = t^{2} \\
y = 2t
\end{cases}
$$
(where $t$ is the parameter). With the origin O as the pole and the positive x-axis as the polar axis, a polar coordinate system is established with the same unit length as the Cartesian coordinate system. The polar equation of line $l$ is $\rho\sin\left(\theta + \frac{\pi}{4}\right) = m$. If line $l$ passes through the focus of parabola C, then the constant $m$ equals \_\_\_\_\_\_.

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