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fix(playground): catch async rejection on the normal send path

Address PR review: the normal-send path wrapped `onSendMessage` in a
synchronous try/catch, but the callee returns a Promise. Async
rejections escaped as unhandled, and `onClearEdit()` + `setText('')`
ran unconditionally — so a failed send still cleared the composer,
leaving the user with no way to retry. Mirror the rewind path's
`Promise.resolve(...).catch(...)` pattern and restore the text on
rejection. Regression test added.