Magento 2.4 with ElasticSearch - include category name in index?

Is there a way to get Magento 2.4 with ElasticSearch to also index the category name alongside the product? For example, I would like someone searching for "wine" to find not only products with wine in the product name, but also products that are in the "Wine" category.

Is it possible to add additional data into the search index to achieve this?