Summary

Fix home prompt input bottom radius being clipped (task #17 regression). Adds overflow-hidden rounded-b-[var(--radius-lg)] to the inner chrome wrapper of PromptInput so the bottom corners are clipped again.

Also syncs the opencode @smoke inventory with the home spec retitle merged in #540, which was leaving CI red on dev.

Why

PR cf7126b (#524) changed the outer DockCard to overflow-visible! to restore popover visibility, which caused the inner gradient/background of the prompt input to no longer be clipped by the outer rounded corner, making the bottom edge appear flat. This PR adds overflow + bottom radius on the inner wrapper only, leaving the outer DockCard untouched so #524 popover visibility is preserved.

PR #540 retitled the root-route home smoke test after this branch was created, but the opencode smoke inventory on dev still referenced the old title. This PR syncs that expected title so the merge-state CI can pass.

Related Issue

task #17 / regression introduced in commit cf7126b; CI blocker introduced by PR #540 smoke-title retitle.

Human Review Status

Opus second-pass: pass
GPT-X engineering final review: pass (geometry check verified overflow:hidden and bottom-radius:14px via focused locator)
Human final merge decision: pending

Review Focus

• Whether the inner wrapper class change introduces unintended side effects
• prompt-slash-open E2E still passes ([Bug] Slash-command suggestions are clipped by the composer DockCard #524 popover not regressed)
• opencode smoke inventory matches dev's home spec title after the test(app): cover root empty state #540 merge

Risk Notes

Low risk. The inner overflow-hidden does not affect popover rendering, which is governed by the outer DockCard overflow-visible!. The opencode change is a one-line test inventory sync for an already-merged smoke-title change.

How To Verify

prompt-slash-open E2E: 3 passed
Typecheck: passed
Diff check: no whitespace errors
Geometry check: GPT-X verified overflow:hidden and bottom radius 14px with focused locator
Smoke inventory: packages/opencode @smoke inventory matches dev's home.spec.ts after merge
Screenshot: uploaded in Slock thread #PawWork:fa978555 attachment d6a37675

Screenshots or Recordings

Screenshot uploaded in Slock thread #PawWork:fa978555 as attachment d6a37675 for visual confirmation.

Checklist

• Human review status is stated above as pending, approved, or not required
• I linked the related issue, or stated why there is no issue
• This PR has type, primary area, and priority labels, or I requested maintainer labeling
• I described the review focus and any meaningful risks
• I listed the relevant verification steps and the key result for each
• I did not introduce unrelated refactors, dependencies, generated files, or file changes beyond the stated scope
• I manually checked visible UI or copy changes when needed, with screenshots or recordings
• I considered macOS and Windows impact for platform, packaging, updater, signing, paths, shell, or permissions changes
• I called out docs, release notes, dependencies, permissions, credentials, deletion behavior, generated content, or local file changes when relevant
• I reviewed the final diff for unrelated changes and suspicious dependency changes
• I am targeting dev, and my PR title and commit messages use Conventional Commits in English