💥 [RUM-8693] Decouple forwardErrorsToLogs from console.error log capture

[bdibon]

Motivation

Two related issues were raised (see #3356):

1. Inconsistent behavior: when forwardErrorsToLogs is explicitly set to true, console.error calls are forwarded to intake (as if forwardConsoleLogs: ['error'] was configured) — but when forwardErrorsToLogs is omitted and relies on its true default, this doesn't happen.
2. No opt-out: users could not stop console.error from being forwarded by setting forwardConsoleLogs: [], because forwardErrorsToLogs: true would silently re-add 'error' to the list.

Changes

Break the link between forwardErrorsToLogs and console.error log capture: console.error is now only forwarded when forwardConsoleLogs explicitly includes 'error'.

Test instructions

1. yarn test:unit --spec packages/logs/src/domain/configuration.spec.ts
2. yarn test:unit --spec packages/logs/src/domain/console/consoleCollection.spec.ts
3. yarn test:e2e -g "logs"

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	N/A	171.17 KiB	N/A	N/A	N/A
Rum Profiler	N/A	6.18 KiB	N/A	N/A	N/A
Rum Recorder	N/A	27.48 KiB	N/A	N/A	N/A
Logs	N/A	56.55 KiB	N/A	N/A	N/A
Rum Slim	N/A	128.39 KiB	N/A	N/A	N/A
Worker	N/A	23.63 KiB	N/A	N/A	N/A

🚀 CPU Performance

Action Name	Base CPU Time (ms)	Local CPU Time (ms)	𝚫%
addglobalcontext	N/A	0.0042	N/A
addaction	N/A	0.0133	N/A
adderror	N/A	0.0137	N/A
addtiming	N/A	0.0028	N/A
startview	N/A	0.0141	N/A
startstopsessionreplayrecording	N/A	0.0011	N/A
logmessage	N/A	0.0204	N/A

🧠 Memory Performance

Action Name	Base Memory Consumption	Local Memory Consumption	𝚫
addglobalcontext	N/A	34.01 KiB	N/A
addaction	N/A	58.51 KiB	N/A
addtiming	N/A	34.39 KiB	N/A
adderror	N/A	62.65 KiB	N/A
startstopsessionreplayrecording	N/A	33.80 KiB	N/A
startview	N/A	468.04 KiB	N/A
logmessage	N/A	48.91 KiB	N/A

🔗 RealWorld

[datadog-prod-us1-4]

✅ Tests

🎉 All green!

❄️ No new flaky tests detected
🧪 All tests passed

🎯 Code Coverage (details)
• Patch Coverage: 100.00%
• Overall Coverage: 77.21%

_{This comment will be updated automatically if new data arrives.
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