docs: include authentication example to examples page

[danilolmc]

PR Checklist

Please check if your PR fulfills the following requirements:

• [x] The commit message follows our guidelines: https://github.com/goetzrobin/spartan/blob/main/CONTRIBUTING.md#-commit-message-guidelines
• [ ] Tests for the changes have been added (for bug fixes / features)
• [x] Docs have been added / updated (for bug fixes / features)

PR Type

What kind of change does this PR introduce?

• [ ] Bugfix
• [ ] Feature
• [ ] Code style update (formatting, local variables)
• [ ] Refactoring (no functional changes, no api changes)
• [ ] Build related changes
• [ ] CI related changes
• [x] Documentation content changes
• [ ] Other... Please describe:

Which package are you modifying?

• [ ] accordion
• [ ] alert
• [ ] alert-dialog
• [ ] aspect-ratio
• [ ] avatar
• [ ] badge
• [ ] button
• [ ] calendar
• [ ] card
• [ ] checkbox
• [ ] collapsible
• [ ] combobox
• [ ] command
• [ ] context-menu
• [ ] data-table
• [ ] date-picker
• [ ] dialog
• [ ] dropdown-menu
• [ ] hover-card
• [ ] icon
• [ ] input
• [ ] label
• [ ] menubar
• [ ] navigation-menu
• [ ] pagination
• [ ] popover
• [ ] progress
• [ ] radio-group
• [ ] scroll-area
• [ ] select
• [ ] separator
• [ ] sheet
• [ ] skeleton
• [ ] slider
• [ ] sonner
• [ ] spinner
• [ ] switch
• [ ] table
• [ ] tabs
• [ ] textarea
• [ ] toast
• [ ] toggle
• [ ] tooltip
• [ ] typography

What is the current behavior?

The current examples page has very few examples showing what can be done using the spartan/ui library

Closes #241

What is the new behavior?

The examples page now gets an authentication example showcasing what can be done with spartan/ui, this is a starting point to add more examples to the page similar to shadcn/ui

Does this PR introduce a breaking change?

• [ ] Yes
• [x] No

Other information

[thatsamsonkid]

Hi @danilolmc sorry I know this has been sitting for a while, was curious if you could rebase the branch so at least the checks can run again. I think you resolved all the previous comments so I'd be happy to see to getting this merged in

[danilolmc]

Hi @thatsamsonkid, no problem, I'm going to rebase the branch.

[danilolmc]

It's done @thatsamsonkid !

[danilolmc]

Thanks for your review @thatsamsonkid!

Now it's resolved!