feat(core): add memory usage (leak) monitoring

[goniz]

What does this PR do?

This is a first draft PR about adding new memory monitoring service that will capture bad memory state and store info about it for later support.

Should be helpful in situations like:

Disclaimer

This code is 80% AI slop and is intended only for demonstrating the feature.
Proper implementation will follow 🤖

[github-actions]

Thanks for your contribution!

This PR doesn't have a linked issue. All PRs must reference an existing issue.

Please:

1. Open an issue describing the bug/feature (if one doesn't exist)
2. Add Fixes #<number> or Closes #<number> to this PR description

See CONTRIBUTING.md for details.

[github-actions]

The following comment was made by an LLM, it may be inaccurate:

Based on my search, I found several related PRs that address memory management and leak prevention:

Potentially Related PRs:

1. fix(memory): resolve 6 memory leak issues in long-running sessions (fix(memory): resolve 6 memory leak issues in long-running sessions #12053)

   • fix(memory): resolve 6 memory leak issues in long-running sessions #12053
   • Directly addresses memory leak fixes similar to the monitoring feature

2. fix(memory): add TTL, LRU eviction, and ring buffers to prevent memory leaks (fix(memory): add TTL, LRU eviction, and ring buffers to prevent memory leaks #12259)

   • fix(memory): add TTL, LRU eviction, and ring buffers to prevent memory leaks #12259
   • Recent memory leak prevention with comprehensive strategies

3. fix(core): add dispose functions to prevent subscription memory leaks (fix(core): add dispose functions to prevent subscription memory leaks #7914)

   • fix(core): add dispose functions to prevent subscription memory leaks #7914
   • Core memory leak prevention in subscriptions

4. fix: Prevent O(n²) memory usage in command output (fix: Prevent O(n²) memory usage in command output #9693)

   • fix: Prevent O(n²) memory usage in command output #9693
   • Addresses memory usage optimization

Why they're related: These PRs all deal with memory management, leak detection, and prevention. The monitoring service in PR #13194 would complement these existing memory leak fixes by providing observability into memory state. Consider reviewing these PRs to ensure the monitoring feature integrates well with existing memory management strategies.