[PM-13058] Remove waiting for tests to pass before publishing

[Hinton]

🎟️ Tracking

https://bitwarden.atlassian.net/browse/PM-13058

📔 Objective

Disabled the check for tests to pass since it's not working correctly. We can revisit this at a later point.

⏰ 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

All modified and coverable lines are covered by tests ✅

Project coverage is 62.85%. Comparing base (8afb703) to head (bf6cbbd).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #22   +/-   ##
=======================================
  Coverage   62.85%   62.85%           
=======================================
  Files         179      179           
  Lines       12688    12688           
=======================================
  Hits         7975     7975           
  Misses       4713     4713           

☔ View full report in Codecov by Sentry.
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[coroiu]

Should be tested on PRs anyways 🤷