Remove showPasswordless conditionals

[trmartin4]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/PM-14654

📔 Objective

We introduced a showPasswordless client-side flag in order to roll out the Login with Device feature, a long time ago, with #3424. This was before LaunchDarkly was a thing, so this is a client-side flag only.

This flag was never cleaned up, and the conditional logic around it was built into the new LoginComponent - since it was still used in the existing one.

This PR removes the conditional logic from both the old LoginComponentV1 and the new LoginComponent that was introduced with #10856.

No behavior should change here, as the flag was true in all environments. We just need to be sure that "Login with Device" still appears on all clients, with both UIs.

📸 Screenshots

Old UI

Web

Desktop

Extension

New UI

Web

Desktop

Extension

⏰ Reminders before review

• Contributor guidelines followed
• All formatters and local linters executed and passed
• Written new unit and / or integration tests where applicable
• Protected functional changes with optionality (feature flags)
• Used internationalization (i18n) for all UI strings
• CI builds passed
• Communicated to DevOps any deployment requirements
• Updated any necessary documentation (Confluence, contributing docs) or informed the documentation team

🦮 Reviewer guidelines

• 👍 (:+1:) or similar for great changes
• 📝 (:memo:) or ℹ️ (:information_source:) for notes or general info
• ❓ (:question:) for questions
• 🤔 (:thinking:) or 💭 (:thought_balloon:) for more open inquiry that's not quite a confirmed issue and could potentially benefit from discussion
• 🎨 (:art:) for suggestions / improvements
• ❌ (:x:) or ⚠️ (:warning:) for more significant problems or concerns needing attention
• 🌱 (:seedling:) or ♻️ (:recycle:) for future improvements or indications of technical debt
• ⛏ (:pick:) for minor or nitpick changes

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 4 lines in your changes missing coverage. Please review.

Project coverage is 33.42%. Comparing base (5592d64) to head (1fbf677).

✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
libs/auth/src/angular/login/login.component.ts	0.00%	3 Missing ⚠️
apps/browser/src/auth/popup/login-v1.component.ts	0.00%	1 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##             main   #11928   +/-   ##
=======================================
  Coverage   33.41%   33.42%           
=======================================
  Files        2841     2841           
  Lines       89008    88990   -18     
  Branches    16979    16975    -4     
=======================================
+ Hits        29744    29746    +2     
+ Misses      56927    56907   -20     
  Partials     2337     2337           

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.