
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 line $l$ has the parametric equation $\begin{cases} x=t\cos \alpha \\ y=1+t\sin \alpha \end{cases}$ (where $t$ is the parameter, $0 \leqslant \alpha < \pi$). A polar coordinate system is established with the origin as the pole and the positive half-axis of $x$ as the polar axis. It is known that the polar equation of curve $C$ is: $\rho\cos^2\theta=4\sin\theta$.

(Ⅰ) Find the general equation of line $l$ and the Cartesian equation of curve $C$;  
(Ⅱ) Suppose line $l$ intersects curve $C$ at two distinct points $A$ and $B$, if $|AB|=8$, find the value of $\alpha$.

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