[woohsin]

Summary

Support deselecting an active problem card by clicking it again in the lobby problem picker.

When the currently chosen card is clicked:

• Releases the manual selection state by resetting manualProblem = false and keptDraw = null.
• Invokes recommend() if history is ready to fall back to the default recommendation engine, or setProblem(null) if it is not.
• Preserves the existing searchVisibilityException state when selecting/reselecting.

Verification

Added browser test in tests/browser/lobby.test.js to verify:

1. Clicking a problem card applies manual selection (snap.card === cardId, prompt updated).
2. Clicking the active card releases the manual override (manualProblem = false, keptDraw = null) and re-triggers recommend(), clearing the manual selection prompt.

Closes #392

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Summary by cubic

Clicking the currently chosen problem card in the lobby picker now releases the manual selection and restores the default recommendation.

• Resets manualProblem and keptDraw, then re-triggers recommend() when history is ready, or clears the problem and its recommendation text otherwise.
• Preserves the searchVisibilityException state when reselecting.
• Adds a browser test that toggles the active card off and verifies the picker falls back to the default recommendation.

Closes #392.

^{Written for commit d798e17. Summary will update on new commits.}

[cubic-dev-ai]

All reported issues were addressed across 2 files

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[ColtenOuO]

Please squash your commit.

[woohsin]

Squashed into a single commit. Thanks for the guidance!