feat: add custom profile milestone metrics for time-of-day coding distributions (Night Owl / Early Bird)

[prakshithamalla-art]

Description

Closes #1486

This PR completely integrates behavior-driven gamification tracking milestones across the platform by analyzing commit timestamp hourly segments to showcase user badges on both private dashboards and public profiles.

Changes Made

• Engineered server-side array timestamp evaluators mapping hours within src/app/u/[username]/page.tsx.
• Integrated parallel client lifecycle analyzers evaluating active repo properties inside src/components/DashboardHeader.tsx.
• Defined Night Owl boundaries matching commits pushed between Midnight and 4:00 AM (🦉).
• Defined Early Bird boundaries matching commits pushed between 5:00 AM and 8:00 AM (🦅).
• Injected visual, responsive badge layout modules equipped with context tracking tooltips.

Hi @Priyanshu-byte-coder, this ensures absolute system completeness across both public and authenticated profile views! Ready for code inspection and approval! 🚀🏁🔥

[vercel]

@prakshithamalla-art is attempting to deploy a commit to the PRIYANSHU DOSHI's projects Team on Vercel.

A member of the Team first needs to authorize it.

[github-actions]

GSSoC Label Checklist 🏷️

@Priyanshu-byte-coder — please apply the appropriate labels before merging:

Difficulty (pick one):

• level:beginner — 20 pts
• level:intermediate — 35 pts
• level:advanced — 55 pts
• level:critical — 80 pts

Quality (optional):

• quality:clean — ×1.2 multiplier
• quality:exceptional — ×1.5 multiplier

Validation (required to score):

• gssoc:approved — counts for points
• gssoc:invalid / gssoc:spam / gssoc:ai-slop — does not score

Type labels (type:*) are auto-detected from files and title. Review and adjust if needed.
Points formula: (difficulty × quality_multiplier) + type_bonus

[Priyanshu-byte-coder]

This PR now has merge conflicts with main. Please rebase your branch against the latest main and force-push to resolve. Run: git fetch upstream && git rebase upstream/main

[Priyanshu-byte-coder]

This PR has merge conflicts with the current main branch. Please rebase your branch onto main, resolve the conflicts, and force-push. Once conflicts are resolved and the PR is marked as mergeable it will be reviewed for merging.

[Priyanshu-byte-coder]

This PR has developed merge conflicts after recent merges to main. Please rebase onto the latest main branch, resolve all conflicts, and force-push. Once the PR is conflict-free it will be reviewed for merging.

[prakshithamalla-art]

check it now if it still has conflicts. sorry about the conflicts