JetBrains IDE plugin / Move Profiler docs to separate page

[jfree]

What does this PR do? What is the motivation?

Moves the Continuous Profiler documentation to a separate page, and updates the screenshots.

Merge instructions

Merge readiness:

• Ready for merge

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Additional notes

[github-actions]

✅ Documentation Team Review

The documentation team has approved this pull request. Thank you for your contribution!

[github-actions]

Preview links (active after the build_preview check completes)

New or renamed files

• https://docs-staging.datadoghq.com/david.gilbert/IDE-4596-jetbrains-ide-profiler/developers/ide_plugins/idea/continuous_profiler

Modified Files

• https://docs-staging.datadoghq.com/david.gilbert/IDE-4596-jetbrains-ide-profiler/developers/ide_plugins/idea/

[joepeeples]

Approved with a few small edits. This one also has the same suggestion as #29734, to omit quotes around non-breaking breakpoints, so I held off on merging this with my edits, just in case you want to keep them.

[jfree]

/merge

[dd-devflow]

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2025-06-12 07:42:46 UTC ℹ️ Start processing command /merge

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2025-06-12 07:43:11 UTC ℹ️ MergeQueue: queue is disabled

Added to the queue but the mergequeue is not enabled for now.

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2025-06-12 15:29:31 UTC ⚠️ MergeQueue: This merge request was unqueued

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[jfree]

/merge -c

[dd-devflow]

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2025-06-12 15:29:23 UTC ℹ️ Start processing command /merge -c

[jfree]

/merge

[dd-devflow]

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2025-06-12 16:54:23 UTC ℹ️ Start processing command /merge

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2025-06-12 16:54:33 UTC ℹ️ MergeQueue: queue is disabled

Added to the queue but the mergequeue is not enabled for now.

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2025-06-13 14:34:14 UTC ℹ️ MergeQueue: This merge request was already merged

This pull request was merged directly.