Repair question

I have a question! I’m very new to biking so forgive my ignorance.
I got my bike used and it came with a Vitoria Mezcal xc tubeless setup. Today I noticed the back tire loosing air and found a very small puncture in the sidewall JUST off of the rim (within 2mm). The puncture is too small to see but a little soap and water reveals a steady leak.
Is there any way to save this tire and if so how do i go about it? Something I can DIY or am I headed to the shop? I’ll try adding a picture in the comments area.
Thanks