
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 point $P$ moves on the unit circle $x^{2}+y^{2}=1$, and the distances from $P$ to the line $3x-4y-10=0$ and $x=3$ are denoted as $d_{1}$ and $d_{2}$ respectively. Find the minimum value of $d_{1}+d_{2}$.

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