Anthropic — Align with gen_ai RFC #153

Align the Anthropic integration with [RFC #153]().

### Attribute renames

- [ ] `gen_ai.system` → `gen_ai.provider.name`
- [ ] `gen_ai.prompt` → `gen_ai.input.messages`
- [ ] `gen_ai.request.available_tools` → `gen_ai.tool.definitions` (structured objects, not JSON string)
- [ ] `gen_ai.response.text` → `gen_ai.output.messages`
- [ ] `gen_ai.response.tool_calls` → `gen_ai.output.messages`
- [ ] `gen_ai.usage.cache_creation_input_tokens` → `gen_ai.usage.input_tokens.cache_write`
- [ ] `gen_ai.usage.cache_read_input_tokens` → `gen_ai.usage.input_tokens.cached`

### Required attributes

- [ ] `gen_ai.operation.name` set on all spans
- [ ] `gen_ai.provider.name` set on all AI Client spans
- [ ] `gen_ai.response.streaming` set on all AI Client spans
- [ ] `gen_ai.response.time_to_first_token` for streaming responses

### Message format

- [ ] `content` → `parts` in `gen_ai.input.messages` and `gen_ai.output.messages`
- [ ] System messages extracted to `gen_ai.system_instructions`