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Your private prompts can be accessed by clicking the option in the left sidebar. Once you click this, you will be able to see all the prompts you have saved to your account. You will see prompts you have saved and not made public to others and you will also see your community prompts here. Everything created by you and saved is shown here.
Like with the community showcase, click on any of the prompts and you will be taken to a screen where you can provide inputs and execute them within your account. This is your little private area to enjoy the vault of all your creations!