There are many ways to promote a new business that nobody is actively looking or searching for, besides cold email outreach. Some of them are:

Creating a brand image that stands out and appeals to your target audience.

Using social media to share valuable content, engage with potential customers, and build a community.

Making use of an email marketing strategy that offers incentives, personalization, and segmentation.

Participating in local events, networking with other professionals, and sponsoring causes that align with your values.