Prompt suggestions or starter templates are offered

A blank chat input plus a blinking cursor is the worst possible empty state for an AI product. New users do not know what the model is good at, what phrasing works, or whether they are supposed to type keywords or full sentences — so they bounce. Starter prompts collapse that cold-start problem by showing concrete examples of the product's sweet spot, and they double as a proof-of-capability demo for prospects still evaluating whether the tool fits.

Render four starter prompts as clickable buttons in the empty state, each wired to submit the prompt directly — not to populate the input box. Choose prompts that showcase distinct capabilities so the grid also serves as a capability map. Implement in src/components/chat/empty-state.tsx.

{messages.length === 0 && STARTER_PROMPTS.map(p => (
  <button key={p} onClick={() => handleSubmit(p)}>{p}</button>
))}