Add DDG domain name check for fireproofing storage

[Bunn]

Task/Issue URL: https://app.asana.com/0/1204167627774280/1204888209490841/f

Description:
Add DDG domain name check for fireproofing storage

Steps to test this PR:

1. Go to a DDG domain website like https://duck.ai/ (which will redirect you to it) open the console and add something to the localStorage. localStorage.setItem('potatoKey', 'Potato Value');
2. Check if it's saved by running console.log(localStorage.getItem('potatoKey')); in the console
3. Click the fire button
4. Go back to AI Chat and validate if the data is still there with the command from step 2

[samsymons]

LGTM, thanks!