cuabot: Consider using @trycua/core for shared telemetry

[f-trycua]

Current State

cuabot duplicates telemetry code that exists in @trycua/core:

• PostHog configuration (API key, host)
• Installation ID management (~/.cua/installation_id)
• Telemetry event structure

The duplication is intentional to keep cuabot standalone, but means changes need to be synced manually.

Consideration

Evaluate whether cuabot should:

1. Keep standalone - Current approach, duplicate code but no dependency
2. Import @trycua/core - Share telemetry code, adds dependency
3. Extract shared telemetry package - New @trycua/telemetry package used by both

Files involved

• libs/cuabot/src/telemetry.ts - cuabot's telemetry implementation
• libs/core/ - @trycua/core telemetry

Trade-offs

Approach	Pros	Cons
Standalone	No deps, simpler install	Code duplication
Import core	Single source of truth	Heavier dependency
Shared package	Clean separation	More packages to maintain

[ddupont808]

@trycua/core is purely telemetry utils so it will be safe to add it as a dependency