chore: Refactor status handling

[shorim]

Description

Changes proposed in this pull request (what was done and why):

Tackling the suggestions from the comments in #833

• Rename CommonMessageFor function to MessageFor in order to have a better reflection of its new logic
• Remove removePendingAndRunningConditions function from both traceComponentsChecker and logComponentsChecker. The deprecated conditions (Running and Pending) are already ignored in the firstUnhealthyPipelineReason function
• Remove extra newTag field in manager kustomization

Changes refer to particular issues, PRs or documents:

• Introduce new status API for logs and traces, mark the old one as deprecated #805

Traceability

• The PR is linked to a GitHub issue.
• New features have a milestone set.
• New features have defined acceptance criteria in a corresponding GitHub Issue, and all criteria are satisfied with this PR.
• The corresponding GitHub issue has a respective area and kind label.
• The follow-up issues (if any) are linked in the Related Issues section.
• Adjusted the documentation if the change is user-facing.
• The feature is unit-tested
• The feature is e2e-tested