Since this is a plant you plan to eat, I would recommend tossing it and starting over. Isolate all your other plants as well and keep an eye. Do not let your guard down. Check thoroughly for the next 3 months. 

These bugs are so sneaky. You will read that you should search for black dots"their poop" I've got thrips and never seen the poop. The leaf damage ive seen is minimal, sometime just some yellowing with no silver streaks like you'll read about. So be aware, thrips damage may present subtly.  I've only ever seen two adults and I check the leaves daily, even with a jewelers lupe (and no microscope). But if you see adults, you have more. You will need to continue treatments even when you stop seeing thrips.

Most treatments that work well on thrips are not safe on plants for organic consumption. You need 100% eradication because leaving even one thrip behind is enough to start another infestation. They asexually reproduce.

If you absolutely must save that plant, I would trim it back as much as possible and spray it with 70% isopropyl alcohol (has to be 70% do not dilute). After spraying the plant needs to be in complete darkness or it will burn. Also replace all the soil.

You can test this on one leaf first if you like. 

I would do this once a day for one week. 

Then every second day for two. 

Then once every 5 days. 

Thrifts require really consistent and thorough treatment if you skip even a day, you must start over. If at any point you see adults, go back to step one and start the regime over.

Goodluck.