feat(ui): add dynamic real-time search filtering for repository view …

[MILAN-123865]

…lists

Program

• ECSoC 2026
• ELUSOC 2026
• Regular contribution (not part of a program)

What does this PR do?

Implement a startup routine in the backend lifespan to query the database for active/queued analysis jobs (status in ACTIVE_JOB_STATUSES) and mark them as error since a system restart has aborted their execution. Additionally, cleanup leftover cloned repository directories matching those stale jobs in REPO_STORAGE_PATH.

Related issue

Closes #26

Checklist

• I have added the correct program label (ECSoC26 or ELUSOC) to this PR
• I tested this change locally
• This PR addresses exactly one issue/feature (not a bundle of unrelated changes)
• I did not open this PR purely to farm contribution counts

Description

Implements a responsive client-side filtering system on the Landing Page repository catalog container to streamline navigation as more repositories are compiled (#205).

Key Actions

• Dynamic Text Input Component: Mounted an optimized filter bar query mapping real-time cursor input modifications down to matching array entries.
• Multi-Field Matching: Extends character searches across name, owner, and slug attributes simultaneously to guarantee flexible search parameters.
• Empty State Fallback: Embedded an elegant visual fallback panel when text entries do not map to any active repository logs.

Closes #205

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