Noselip0's journey

I recently came across a new independent restaurant opening nearby and I'm really eager to apply for a position there. Since my resume isn't very strong—having only two previous jobs unrelated to hospitality, although one was in customer service—I want to find a way to stand out. I noticed their website is still a work in progress and there’s no contact information listed on Indeed. I’m considering reaching out directly via their Instagram page with a follow-up introductory message after applying. I’m unsure if this is a good approach or if I should just leave it. Any advice on whether this would be appropriate?