feat(ui): migrate delete/leave-org sections to state machines

[alexcarpenter]

Summary

Replaces useState boolean pairs in DeleteOrganization and LeaveOrganization with co-located machine definitions, demonstrating the simplest machine pattern.

Each section gets a *-machine.ts with three states and four events:

idle → confirming → deleting/leaving
          ↑              ↓
         OPEN         done/error → idle

Before: two useState booleans, event handlers with manual flag resets, impossible states representable (isDeleting && !open).

After: useMachine(machine, { context: { destroyFn } }) — impossible combinations unrepresentable by construction.

Stack

1. feat/mosaic-machine-core — core library ✅
2. This PR — section migrations
3. feat/mosaic-machine-signin — sign-in flow machines + adoption guide

Test plan

• turbo test --filter @clerk/ui passes
• Delete/leave org dialogs open, confirm, submit, and cancel correctly

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🦋 Changeset detected

Latest commit: 531fbbe

The changes in this PR will be included in the next version bump.

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Project	Deployment	Actions	Updated (UTC)
clerk-js-sandbox	Ready	Preview, Comment	Jun 22, 2026 6:52pm
swingset	Ready	Preview, Comment	Jun 22, 2026 6:52pm

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