[Website] Allow users to set Playground name before saving and rename saved Playgrounds

[bgrgicak]

Motivation for the change, related issues

Before this PR when saving a Playground a name was automatically generated, but there was no way to change the name.

This PR adds the ability to set the Playground name before saving it and rename the Playground after it's already saved.

Note Some of the PR changes were auto-generated linter changes.

Testing Instructions (or ideally a Blueprint)

• Checkout this branch
• Start the dev server npm run dev
• Go to the Playground manager
• Click save on a temporary site
• Click cancel or the x icon and confirm the site wasn't saved
• Click on save again
• Change the site name
• Click save and confirm the site was saved under the name you specified
• Select a saved site
• Click on the kebab menu of that site and click Rename
• Rename the site and confirm the changes are saved

[zaerl]

@akirk, I'm ping you here to let you know Bero asked me to take care of this. I will take a look at what is happening on these E2Es once I will finish my other tasks.

[adamziel]

The test failures here are weird. I've started #2486 to work with a smaller change for easier reviews and debugging.