
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 elective course 4-4: Coordinate System and Parametric Equations
Given curves $C_{1}$ with parametric equations
$$
\begin{cases}
x = -4 + \cos t \\
y = -3 + \sin t
\end{cases}
$$
where $t$ is the parameter, and $C_{2}$ with parametric equations
$$
\begin{cases}
x = 8 \cos \theta \\
y = -3 \sin \theta
\end{cases}
$$
where $\theta$ is the parameter.
1. Convert the equations of $C_1$ and $C_2$ into standard (ordinary) equations.
2. If point P on $C_1$ corresponds to the parameter $t = \frac{\pi}{2}$, and Q is a moving point on $C_{2}$, find the minimum distance from the midpoint M of PQ to the line $C_{3}$ with parametric equations
$$
\begin{cases}
x = 3 + 2t \\
y = -2 + t
\end{cases}
$$
where $t$ is the parameter.

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