✨ [RUM-16632] add profiling bridge mode support

[bcaudan]

Motivation

Profiling data is always sent directly to the intake via HTTP. In Electron and WebView environments where the native SDK acts as a proxy through the bridge, profiling requests would use dummy session and application IDs, resulting in rejections at the intake.

Changes

• Add BridgeCapability.PROFILES: route profiling through the bridge when the native SDK advertises it, disable profiling silently when a bridge is present without that capability
• Refactor the profiler to be transport-agnostic: introduce an emitPayload callback so the profiler core no longer owns transport decisions
• Add ProfilingPayload as a shared domain type (profile + trace) passed to both the bridge emitter and the FormData emitter
• Session injection for the non-bridge path moves to formDataEmitter, keeping the bridge path session-free (the native SDK handles it)

Test instructions

Unit tests cover bridge mode routing, session injection, and sampling. E2E test covers the bridge path end-to-end using the mock bridge.

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

[cit-pr-commenter-54b7da]

Bundles Sizes Evolution

📦 Bundle Name	Base Size	Local Size	𝚫	𝚫%	Status
Rum	172.04 KiB	172.11 KiB	+69 B	+0.04%	✅
Rum Profiler	8.01 KiB	8.22 KiB	+214 B	+2.61%	✅
Rum Recorder	21.09 KiB	21.09 KiB	0 B	0.00%	✅
Logs	54.21 KiB	54.21 KiB	0 B	0.00%	✅
Rum Slim	129.72 KiB	129.72 KiB	0 B	0.00%	✅
Worker	22.96 KiB	22.96 KiB	0 B	0.00%	✅

[datadog-datadog-prod-us1]

🎉 All green!

🧪 All tests passed
❄️ No new flaky tests detected

🎯 Code Coverage (details)
• Patch Coverage: 87.50%
• Overall Coverage: 76.86% (+0.06%)

_{This comment will be updated automatically if new data arrives.
🔗 Commit SHA: 0b00e97 | Docs | Datadog PR Page | Give us feedback!}

[bcaudan]

@codex review

[chatgpt-codex-connector]

Codex Review: Didn't find any major issues. Already looking forward to the next diff.

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[thomasbertet]

Code LGTM.

[chatgpt-codex-connector]

💡 Codex Review

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Reviewed commit: 1afb4bc37b

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[chatgpt-codex-connector]

💡 Codex Review

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Reviewed commit: 21e7e74a8a

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[chatgpt-codex-connector]

💡 Codex Review

browser-sdk/packages/browser-rum/src/domain/profiling/datadogProfiler.ts

Lines 83 to 86 in 74f0a45

	!isSampled(
	newSession.id,
	correctedChildSampleRate(configuration.sessionSampleRate, configuration.profilingSampleRate)
	)

Apply bridge sampling rules on session renewal

In bridge mode the initial startup path now skips the browser profilingSampleRate because the native SDK owns sampling, but this renewal path still applies the web session sampling check. When a bridged profile is started by the native side despite profilingSampleRate: 0 or another browser-side sample-out, a later SESSION_EXPIRED/SESSION_RENEWED cycle returns here and profiling never resumes until reload even though the bridge still advertises PROFILES; this should use the same bridge-aware sampling decision as startup.

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[bcaudan]

Apply bridge sampling rules on session renewal

@chatgpt-codex-connector that is indeed a known issue with the bridge, session expiration / renewal is not propagated from native SDK to browser SDK.
Definitely something to improve but outside the scope of this PR.