Feature request: bindable action for /clear (start a new conversation)

Currently /clear (start a new conversation) has no corresponding action in keybindings.json, so it cannot be bound to a key. The only way to start a fresh conversation is to type /clear and press Enter.

Adjacent actions exist but do different things:

• chat:clearInput (default ctrl+l) — clears the input buffer only
• chat:clearScreen (default cmd+k) — clears visible screen, conversation continues

Neither resets the conversation.

Request: expose a bindable action (e.g. chat:newConversation or chat:clearConversation) that performs the same thing as the /clear slash command, so it can be bound via ~/.claude/keybindings.json.

Repro: ~/.claude/keybindings.json has no action that maps to /clear. Confirmed against the action list in the keybindings docs.