
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 that $\angle XOY = 90^{\circ}$, $P$ is a point inside $\angle XOY$, and $OP = 1$. Also, $\angle XOP = 30^{\circ}$.

Through point $P$, draw a line intersecting rays $OX$ and $OY$ at points $M$ and $N$ respectively. Find the maximum value of $OM + ON - MN$.

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