
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 equations of curve $C_{1}$ are $\left\{{\begin{array}{l}{x=1+t,}\\{y=\sqrt{3}t}\end{array}}\right.$ (where $t$ is the parameter), and the parametric equations of curve $C_{2}$ are $\left\{{\begin{array}{l}{x=\sqrt{2}(cosθ+sinθ),}\\{y=cosθ-sinθ}\end{array}}\right.$ (where $θ$ is the parameter). <br/> $(1)$ Convert the parametric equations of curve $C_{2}$ into the standard form equation. <br/> $(2)$ Given the point $M(1,0)$, curves $C_{1}$ and $C_{2}$ intersect at points $A$ and $B$, find $|{\frac{1}{{|MA|}}-\frac{1}{{|MB|}}}|$.

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