Find $\min |3+2 i-z|$ for $|z| \leq 1$.

#
It is required to find the point on a circle of radius 1 centered at the point $(0,0)$, closest to the point $(3,2)$.

## Answer

$\sqrt{13}-1$.

Translate the text above into English, please keep the original text's line breaks and format, and output the translation result directly. 

---

It is required to find the point on a circle of radius 1 centered at the point $(0,0)$, closest to the point $(3,2)$.

## Answer

$\sqrt{13}-1$.