Make Live Debugger per-second budgets configurable

[watson]

Motivation

Allow Live Debugger users to tune per-second backpressure limits without changing the runtime defaults.

Changes

Add new DD_DEBUGGER.init() options to configure:

• the global snapshot per-second budget
• the default snapshot per-probe per-second budget
• the default non-snapshot per-probe per-second budget

Wire those options into the debugger probe budget logic and reset them when the debugger transport is reset. Add unit tests covering the configurable global snapshot limit and configurable per-probe snapshot/non-snapshot limits.

Test instructions

1. Run yarn test:unit --spec packages/debugger/src/domain/api.spec.ts
2. Run yarn test:unit --spec packages/debugger/src/domain/probes.spec.ts
3. In packages/debugger/src/entries/main.ts, verify that DebuggerInitConfiguration exposes:
   • maxSnapshotsPerSecondGlobally
   • maxSnapshotsPerSecondPerProbe
   • maxNonSnapshotsPerSecondPerProbe
4. In packages/debugger/src/domain/probes.ts, verify those values are used as the runtime defaults when probe-specific sampling is not set.

Checklist

• Tested locally
• Tested on staging
• Added unit tests for this change.
• Added e2e/integration tests for this change.
• Updated documentation and/or relevant AGENTS.md file

[watson]

• Add Live Debugger lifetime event budgets #4510
• Make Live Debugger per-second budgets configurable #4509 👈 (View in Graphite)
• Add Live Debugger package #4449 : 5 other dependent PRs (#4480 , #4503 , #4508 and 2 others)
• Fix TanStack Router lint resolution in test app #4513
• main

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[cit-pr-commenter-54b7da]

Bundles Sizes Evolution

📦 Bundle Name	Base Size	Local Size	𝚫	𝚫%	Status
Rum	179.56 KiB	179.56 KiB	0 B	0.00%	✅
Rum Profiler	6.04 KiB	6.04 KiB	0 B	0.00%	✅
Rum Recorder	27.03 KiB	27.03 KiB	0 B	0.00%	✅
Logs	56.69 KiB	56.69 KiB	0 B	0.00%	✅
Rum Slim	135.41 KiB	135.41 KiB	0 B	0.00%	✅
Worker	23.63 KiB	23.63 KiB	0 B	0.00%	✅

🚀 CPU Performance

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🧠 Memory Performance

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🔗 RealWorld

[datadog-datadog-prod-us1]

🎉 All green!

❄️ No new flaky tests detected
🧪 All tests passed

🎯 Code Coverage (details)
• Patch Coverage: 80.00%
• Overall Coverage: 76.70% (-0.01%)

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