Webhooks: post each new incoming message (closes #7)

Each message a contact sends in a direct chat is posted to each webhook registered on that chat: `POST`, `Content-Type: application/json`, body `{"chat_id":N,"message":{...}}` with the same record the messages endpoint returns. The event handler only queues the message; four goroutines post it, one attempt each with a 10-second timeout and no retries, and with 100 already waiting a message is dropped and logged, so a slow webhook never delays the bot's replies. Posting stops last, after the chat client.

Disclosures: redirects are not followed; a logged failure can name the webhook's host but never its path, query or credentials; posts still in flight at shutdown are abandoned and logged.

Model: opus-5-5

README.md

@@ -226,7 +226,9 @@ Nothing is sent, and the answer is:
 Registers the `url` in the body as a webhook on the chat `id`, and
 answers `201` with the webhook. If the chat already has a webhook with
 the same `url`, character for character, the answer is `200` with that
-webhook instead.
+webhook instead. Each new message the contact sends in the chat is then
+posted to the webhook, as
+[Messages posted to webhooks](#messages-posted-to-webhooks) describes.
 
 ```sh
 curl -H "Authorization: Bearer $TOKEN" -H 'Content-Type: application/json' \
@@ -252,8 +254,7 @@ The bot keeps the webhooks in `webhooks.json` in `DATA_DIR`, with mode
 0600, and reads that file at startup, so they survive a restart. Without
 the file there are none; a file that cannot be read, or that holds
 anything but webhooks as the bot writes them, aborts startup, as
-configuration that cannot be parsed does. The bot does not post anything
-to a webhook yet.
+configuration that cannot be parsed does.
 
 Nothing is registered, and the answer is:
 
@@ -303,6 +304,51 @@ Nothing is removed, and the answer is:
   webhook `webhook_id`;
 - `500` if `webhooks.json` cannot be written.
 
+### Messages posted to webhooks
+
+Each new message a contact sends in a chat is posted to each of the
+chat's webhooks: a `POST` to its `url`, with
+`Content-Type: application/json`, whose body is the chat's `id` as
+`chat_id` and the message as `GET /api/v1/chats/{id}/messages` shows it:
+
+```json
+{
+    "chat_id": 3,
+    "message": {
+        "id": 9,
+        "direction": "received",
+        "type": "text",
+        "text": "2 + 2",
+        "time": "2026-09-29T03:14:34Z"
+    }
+}
+```
+
+Every kind of message is posted, not only arithmetic, so `type` can be
+`image`, `file` or another kind, with the caption as `text`. Messages
+the bot sends, its replies and those sent through the API, are not
+posted.
+
+A message is posted to each webhook at most once: there are no retries.
+A webhook misses it if the bot cannot reach it, if it does not answer
+within 10 seconds, or if it answers with a status other than 2xx; a
+redirect is not followed, and counts as such a status. So that no
+webhook holds up the bot's replies, messages wait in a queue, and the
+bot posts four at a time; a message that arrives while 100 wait is not
+posted. Posting goes on while the bot stops; once its chat client has
+exited, posts in progress are abandoned, and messages still waiting are
+not posted.
+
+The bot logs two warnings, which never hold a webhook's URL, as it can
+carry a secret, nor a message's text:
+
+- `dropping a message for the webhooks: the queue is full`, with
+  `chat_id` and `message_id`, for a message that found the queue full;
+- `posting a message to a webhook`, with `webhook_id`, `message_id` and
+  either the `status` the webhook answered with or the `error` that
+  ended the post, for each post that got no 2xx answer, abandoned posts
+  included. The error can name the webhook's host.
+
 ## Entrypoints
 
 This repo adheres to the
@@ -405,7 +451,13 @@ container.
   each rewrites the file whole: the bot writes a temporary file beside
   it, named `webhooks.json.` and digits, and renames it over the old
   one. A crash leaves the old file or the new one, never part of one,
-  and at worst a stray temporary file, which the bot ignores.
+  and at worst a stray temporary file, which the bot ignores. Messages
+  are posted to the webhooks by four goroutines serving a queue. The
+  goroutine that delivers the chat client's events, and also its
+  answers, only puts each message in the queue, never waiting: not for a
+  webhook, and not for the list of webhooks, which waits while the file
+  is written. Posting goes on while the bot stops, until the chat client
+  has exited.
 - **Replies**: for each text message a contact sends in a direct chat,
   the bot sends back the result, as a reply quoting the message. Group
   messages, files and the bot's own messages are ignored.