Hi,
This won't be enough. You have to add markup. Google recommends doing this with JSON-LD. JSON-LD has the advantage of not being visible on the site. You also don't need to mix it within your HTML. It would look like this:
Breadcrumbs in the SERP's are nice but they won't bring you the gold... This kind of formatting ( > ) is easily overlooked. Almost only people that know about it like you and me would notice it...
Personally I would rather focus on reviews/ratings: https://developers.google.com/search/docs/data-types/reviews (add the markup if you have already ratings for your products or make it easy for people to rate your products so you can include that later). --> Reviews/Ratings might appear with stars on the SERP's: this is going to bring you the gold CTR wise you will see.
You could also add markup for the products to make Google better understand about your products and and what their according properties are.
And/or add your logo and all the social media profiles on your Knowledge Graph cards: https://developers.google.com/search/docs/guides/enhance-site
Depending on the shop CMS system you are using you might even find plugins that help you doing that., e.g. https://de.wordpress.org/plugins/json-api/.
Hope this helps.
Cheers,
Cesare