Discord: keep interaction buttons live during bind flows

[huntharo]

Summary

• I changed Discord picker refreshes to edit the original interaction message and register the rebuilt component state so refreshed buttons stay clickable instead of going dead.
• I added the Discord interaction ack and fallback paths needed for bind and resume flows, including updating the original resume message when a bind approval reply is required, so already-acknowledged clicks still complete cleanly instead of failing during button handling.
• I updated the local Discord SDK typings and controller coverage to exercise the refreshed picker, acknowledged-interaction fallback, and pending bind retry paths.

Validation

• pnpm test
• pnpm typecheck