Need help finding overlaying a badge onto a product

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Hello Shopify community -  I would like to overlay a badge onto a product image and have it open a modal (and dismissible) page when that badge is clicked.  An example of this can be found here ( when you click the 'SHOP NOW' button.  I am struggling to find where a badge can be overlaid in the product page (product-template.liquid or product-preview-image.liquid).  The theme I am using to mock this up is the 'Narrative' theme.  I have uploaded the logo as an asset and also found where text can be added below or above the image but have been unable to locate where it could overlay the image.

Any assistance would be appreciated!  Thank you.  [R]