feat: add gateway logs tab

docs/gateway/logging.md

@@ -23,6 +23,8 @@ Clawdbot uses a file logger backed by `tslog` ([`src/logging.ts`](https://github
 
 The file format is one JSON object per line.
 
+The Control UI Logs tab tails this file via the gateway (`logs.tail`).
+
 **Verbose vs. log levels**
 
 - **File logs** are controlled exclusively by `logging.level`.

docs/web/control-ui.md

@@ -39,6 +39,7 @@ The dashboard settings panel lets you store a token; passwords are not persisted
 - Config: apply + restart with validation (`config.apply`) and wake the last active session
 - Config schema + form rendering (`config.schema`); Raw JSON editor remains available
 - Debug: status/health/models snapshots + event log + manual RPC calls (`status`, `health`, `models.list`)
+- Logs: live tail of gateway file logs with filter/export (`logs.tail`)
 - Update: run a package/git update + restart (`update.run`) with a restart report
 
 ## Tailnet access (recommended)