Text sold out comes with price.
We have to shift price label below varient if product is sold out.
Please share your site url.
Think that you want s cant possible by just console, for that you have to deal with Js as you can find variants callback function in Asset->theme.js file.
You have to replace your variants box on each variants selection so you get related pair of variants on any selection and check qty so you can add "Sold out" text to this option.
Note: i have remove sold out option but in your case we have to put text next to option.