docs: complete channels rename sweep

docs/automation/cron-jobs.md

@@ -80,7 +80,7 @@ Key behaviors:
 - Prompt is prefixed with `[cron:<jobId> <job name>]` for traceability.
 - A summary is posted to the main session (prefix `Cron`, configurable).
 - `wakeMode: "now"` triggers an immediate heartbeat after posting the summary.
-- If `payload.deliver: true`, output is delivered to a provider; otherwise it stays internal.
+- If `payload.deliver: true`, output is delivered to a channel; otherwise it stays internal.
 
 Use isolated jobs for noisy, frequent, or "background chores" that shouldn't spam
 your main chat history.
@@ -94,9 +94,9 @@ Common `agentTurn` fields:
 - `message`: required text prompt.
 - `model` / `thinking`: optional overrides (see below).
 - `timeoutSeconds`: optional timeout override.
-- `deliver`: `true` to send output to a provider target.
-- `provider`: `last` or a specific provider.
-- `to`: provider-specific target (phone/chat/channel id).
+- `deliver`: `true` to send output to a channel target.
+- `channel`: `last` or a specific channel.
+- `to`: channel-specific target (phone/chat/channel id).
 - `bestEffortDeliver`: avoid failing the job if delivery fails.
 
 Isolation options (only for `session=isolated`):
@@ -116,12 +116,12 @@ Resolution priority:
 2. Hook-specific defaults (e.g., `hooks.gmail.model`)
 3. Agent config default
 
-### Delivery (provider + target)
-Isolated jobs can deliver output to a provider. The job payload can specify:
-- `provider`: `whatsapp` / `telegram` / `discord` / `slack` / `signal` / `imessage` / `last`
-- `to`: provider-specific recipient target
+### Delivery (channel + target)
+Isolated jobs can deliver output to a channel. The job payload can specify:
+- `channel`: `whatsapp` / `telegram` / `discord` / `slack` / `signal` / `imessage` / `last`
+- `to`: channel-specific recipient target
 
-If `provider` or `to` is omitted, cron can fall back to the main session’s “last route”
+If `channel` or `to` is omitted, cron can fall back to the main session’s “last route”
 (the last place the agent replied).
 
 Target format reminders:

docs/automation/gmail-pubsub.md

@@ -32,7 +32,7 @@ Example hook config (enable Gmail preset mapping):
 ```
 
 To deliver the Gmail summary to a chat surface, override the preset with a mapping
-that sets `deliver` + optional `provider`/`to`:
+that sets `deliver` + optional `channel`/`to`:
 
 ```json5
 {
@@ -51,7 +51,7 @@ that sets `deliver` + optional `provider`/`to`:
           "New email from {{messages[0].from}}\nSubject: {{messages[0].subject}}\n{{messages[0].snippet}}\n{{messages[0].body}}",
         model: "openai/gpt-5.2-mini",
         deliver: true,
-        provider: "last"
+        channel: "last"
         // to: "+15551234567"
       }
     ]
@@ -59,7 +59,7 @@ that sets `deliver` + optional `provider`/`to`:
 }
 ```
 
-If you want a fixed channel, set `provider` + `to`. Otherwise `provider: "last"`
+If you want a fixed channel, set `channel` + `to`. Otherwise `channel: "last"`
 uses the last delivery route (falls back to WhatsApp).
 
 To force a cheaper model for Gmail runs, set `model` in the mapping