Honestly? And I mean this in all sincerity, Project Management is basically herding cats.
As a PM you're responsible for:
1) Defining the product requirements, usually in a PRD (product requirements document).
2) Assigning work to engineers and UX folks (or working with those teams to get the work assigned).
3) Ensuring that work is properly scoped.
4) Ensuring that work is properly tracked. (Jira!)
5) Reporting metrics and updates. (Roadmaps!)
6) Setting goals at the start to define success. (OKRs!)
7) Verifying that everything works before launch. (You did schedule QA time in your project plan, right?)
8) Celebrating the work of the eng teams.
9) Doing it all over again.
Most of this is product management, which kind of incorporates project management as a requisite skill but is very different in scope and expectations. Project managers absolutely don't necessarily scope product work, make PRDs (PRODUCT requirements document), define product direction, etc.
All "project" management means is you help implement processes and ensure follow-through on goals and metrics for a particular project. It could be anything at a company, and not necessarily within the purview of product.
My first suggestion to anyone wanting to be a "PM" is first learn which one you're referring to.
A project manager helps define metrics and enable follow-through and completion on a project.
A product manager is responsible for the success and shaping of a product, including things like setting roadmaps, market research and knowledge, customer outreach, and product intuition (this typical being the most important skill). Product managers typically also project manage their product, in addition to all this.
Learning project management skills is very different from becoming a product manager, but would help.