Closes issue:#2748

📜 Summary of changes:

This PR introduces the ability to save intercepted HTTP requests from the Edit & Replay modal in the Requestly Desktop App — a feature that previously did not exist.

Key additions include:

• New Save button in the API Client modal UI when launched from the network interceptor.

• Initialize and attach a valid API Client persistence context using setupContextWithoutMarkingLoaded, enabling record storage.

• Saving new intercepted requests using createRecordWithId()

• Display a success toast after saving.

• Preserve saved requests across app reloads and modal reopen.

This enhancement enables a smoother workflow where users can now:

Capture → Modify → Replay → Save to API Collection

directly from the desktop HTTP interceptor — without manually recreating the request in the API Client.

🎥 Demo Video:

✅ Checklist:

• Make sure linting and unit tests pass.
• No install/build warnings introduced.
• Verified UI in browser.
• For UI changes, added/updated analytics events (if applicable).
• For changes in extension's code, manually tested in Chrome and Firefox.
• Added/updated unit tests for this change.
• Raised pull request to update corresponding documentation (if already exists).
• Added demo video showing the changes in action (if applicable).

🧪 Test instructions:

🔗 Other references:

Summary by CodeRabbit

• New Features

  • API client modal now initializes and uses a dynamic workspace/user context when opened.

• Improvements

  • Simplified Save button behavior with unified enable/disable logic respecting modal state and unsaved changes.
  • New API requests default to meaningful names ("Untitled request") and preserve collection association when available.
  • Improved error handling and recovery during context initialization.

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