Refactor provider session reaper timing with Effect primitives

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What Changed

• Replaced provider session reaper raw millisecond constants/options with Effect Duration values.
• Replaced Date.parse/Clock.currentTimeMillis idle checks with DateTime.make, DateTime.now, and DateTime.distance.
• Reworked ProviderSessionReaper tests to use @effect/vitest, TestClock, and partial Layer.mock services instead of real-clock polling/full fake service objects.

Why

This keeps the reaper's lifecycle policy testable through Effect services and aligns the module with the codebase's idiomatic Effect guidance around Duration, DateTime, dependency injection, and deterministic clocks.

UI Changes

Not applicable; no UI changes.

Checklist

• This PR is small and focused
• I explained what changed and why
• I included before/after screenshots for any UI changes (not applicable)
• I included a video for animation/interaction changes (not applicable)

Verification

• PATH="/home/ubuntu/.nvm/versions/node/v24.18.0/bin:$PATH" pnpm exec vp test run src/provider/Layers/ProviderSessionReaper.test.ts (from apps/server): 6 passed
• PATH="/home/ubuntu/.nvm/versions/node/v24.18.0/bin:$PATH" pnpm exec vp run typecheck (from repo root): passed
• PATH="/home/ubuntu/.nvm/versions/node/v24.18.0/bin:$PATH" pnpm exec vp check (from repo root): passed

  

Note

Refactor provider session reaper to use Effect Duration primitives and TestClock

• Replaces millisecond number options (inactivityThresholdMs, sweepIntervalMs) with Duration.Input types in ProviderSessionReaperLiveOptions, requiring callers to update their configuration.
• Rewrites time handling in makeProviderSessionReaper to use DateTime and Duration APIs instead of Clock.currentTimeMillis and raw arithmetic; invalid lastSeenAt values are now skipped with a warning instead of causing errors.
• Refactors tests in ProviderSessionReaper.test.ts to use TestClock and Effect-native test utilities, eliminating async polling helpers and ManagedRuntime in favor of deterministic, synchronous assertions.
• Risk: inactivityThreshold and sweepInterval option names are breaking changes for any existing callers of makeProviderSessionReaperLive.

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