Adobe Design and Web Premium CS6 reactivation

You'll need a machine that's compatible with legacy 32-bit apps. 

In the absense of that, you're SOL.

Decade old CS6 is discontinued, unsupported & in many cases too obsolete for modern use.  You would do well to use modern software that's compatible with new equipment.

Photoshop Elements or Premiere Elements (approx $100, no subscription needed).
https://www.adobe.com/products/photoshop-elements.html

Creative Cloud Photography Plan (approx $10/month for 12 months). Includes the following:

• Photoshop CC and Photoshop on iPad
• Camera Raw
• Lightroom on desktop, mobile and the web
• Lightroom Classic
• Portfolio website + hosting
• Adobe Express (free starter plan)
• Bridge
• 20 GB cloud storage (upgradable to 1 TB).
• Free upgrades for paid subscribers

https://www.adobe.com/creativecloud/photography.html

Premium Adobe Express ($10/month). Mobile and web-based graphics & video apps for creating social media content.

https://helpx.adobe.com/express/using/express-overview.html

Creative Cloud (20 + pro apps & services) and Single App Plans
https://www.adobe.com/creativecloud/plans.html

if you still have the old computer, start a cs6 app and click help>deactivate.  otherwise, if you purchased from or registered with adobe, sign into your account (https://account.adobe.com) and deactivate the licenses.

if you cannot do either, contact adobe support and request an "activation count reset".  ask for nothing else.