I need to add a select with a custom price in the single product as seen in the screenshots below;
The idea is that by selecting an option from (select) you can increase it to the base price.
Without using the variations, since my idea is to do other things more, but I need help on how to do this.
I've seen plugins that do it are called "Add-On" but I do not want to use a plugin.
To add a select field in simple products (like in variable products) that will update base price depending on the dopdown selected value, try this:
Code goes in function.php file of your active child theme (or active theme). Tested and work.