[Feature] Profiling support in Bun

### Description

Bun is not built on V8 but on Safari's JavaScriptCore (JSC), and we would need an entirely different implementation of the profiler in order to be able to profile the bun runtime.

Upvoting on this issue helps us prioritize this (see statement below in "Priority").

Also mentioned in this issue:
- https://github.com/getsentry/sentry-javascript/issues/13577

### Reasons against implementing this

- Bun has a `console.profile` which might do something similar (at least in dev): https://bun.com/reference/globals/Console/profile
- Production profiling in Bun still has issues, for example leaking memory very fast: https://github.com/oven-sh/bun/issues/24858

### Resources

- https://bun.com/reference/bun/jsc/profile
- https://bun.com/docs/project/benchmarking

**Related APIs**
- Node `inspector.Profile` in Bun (`inspector` not implemented in Bun): https://bun.com/reference/node/inspector/Profiler/Profile
- Node GC Profiler (implemented in Bun, but different profiler): https://bun.sh/reference/node/v8/GCProfiler

### Priority

_{React with 👍 to help prioritize this feature. Please use comments to provide useful context, avoiding `+1` or `me too`, to help us triage it.}

まず Bun の jsc/profile とベンチマーク用リソースを読み、次に issue で言及されている関連する Node inspector.Profile および GCProfiler API と比較してください。実装を提案する前に、Sentry JavaScript の統合ポイントと関連するテストを特定してください。inspector API の未実装部分に依存せずに Bun のランタイムプロファイリングがサポートされれば、作業は完了です。

索引モデルが issue の本文から書いたものです。