Let a session resume itself when its usage limit lifts

Off by default and per session: it spends quota the moment quota exists,
with nobody watching, which is not a thing a default may decide. Switched
on from the session settings dialog, with the message it sends editable
("continue" unless something else is typed).

Running out of quota becomes a state rather than an error. The Claude
driver recognises its dialect's sentence -- `Claude AI usage limit
reached|1788546972` -- and reports `LimitReached` with the reset time it
gave; nothing above a driver matches on a string. The transcript draws it
as a divider, like a clear or a compaction.

The schedule is a plan to *ask*, never a plan to send. Both reset times
available are untrustworthy in the direction that matters -- the dialect's
is written when the turn fails, the endpoint's moves when the window does
-- so the wait ends in a question to the usage meter, and only `ok` with
no window at 100% sends anything. A window still spent reschedules to its
own reset time, which is what makes a limit that lifts late wait longer
and one that lifts early resume sooner. A meter that cannot be asked is a
longer wait too, never a send. A day after the limit was hit the wait
gives up and says so in the transcript, so a machine that can never be
asked is not retried for ever.

The schedule is persisted on the session: a five-hour window outlasts a
backend restart, and a wait forgotten across one never comes back.

Driven end to end with echo, never a real account: `/limit [minutes]`
reports the same event a real driver does and `/usage` sets what the meter
answers, deliberately separate so the two can disagree. The wait moved
from the dialect's two minutes to the meter's seven when the meter changed
its mind, and the message went out on the first check after the meter came
back under the limit.

Also makes the settings dialog scrollable, which these two controls made
necessary: at a 1.5x system font it clipped the last of them with nothing
on screen to say so.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

app/androidApp/src/main/kotlin/com/example/aiapp/Api.kt

@@ -167,6 +167,24 @@ data class SessionSummary(
      * itself from a default is one you can turn off while believing you are reading it.
      */
     val notify: Boolean,
+    /**
+     * Whether this session sends itself a message once its account's usage limit lifts, and what
+     * that message says.
+     *
+     * The message is what the server would actually send, with its own default already filled in,
+     * so the field shows the words rather than an empty box standing for them.
+     */
+    val autoResume: Boolean,
+    val autoResumeMessage: String,
+    /**
+     * When the server next intends to check whether the limit has lifted, in epoch seconds, or null
+     * when nothing is waiting.
+     *
+     * A time to *ask*, not a time to resume: the server checks the meter at that moment and waits
+     * again if the limit is still on. Worded that way wherever it is shown, because a promise this
+     * app cannot keep is worse than no time at all.
+     */
+    val resumeAt: Double?,
     /**
      * The directory the session works in, or null where it was never given one.
      *
@@ -221,6 +239,12 @@ private fun parseSession(session: JSONObject) =
         takesEffort = session.optBoolean("takesEffort", false),
         imported = session.optBoolean("imported", false),
         notify = session.optBoolean("notify", true),
+        autoResume = session.optBoolean("autoResume", false),
+        // The server sends its own default rather than nothing, so an empty answer means an older
+        // server -- and this app's word for it is the same word.
+        autoResumeMessage =
+            session.optString("autoResumeMessage").ifEmpty { DEFAULT_RESUME_MESSAGE },
+        resumeAt = if (session.has("resumeAt")) session.getDouble("resumeAt") else null,
         cwd = session.optString("cwd").ifEmpty { null },
         contextTokens =
             if (session.has("contextTokens")) session.getLong("contextTokens") else null,
@@ -1072,6 +1096,36 @@ fun setSessionPermissionMode(settings: ServerSettings, sessionId: String, mode:
 }
 
 /** Turns this session's notifications on or off. Stored on the backend -- see `SessionConfig`. */
+/**
+ * What an auto-resume says when nothing else was typed. Mirrors the server's own default, so a
+ * cleared field shows the word that would actually be sent instead of going blank.
+ */
+const val DEFAULT_RESUME_MESSAGE = "continue"
+
+/**
+ * Turns auto-resume on or off and sets what it would say, in one request because they are one
+ * decision -- see the server's `/sessions/{id}/auto-resume`.
+ */
+fun setSessionAutoResume(
+    settings: ServerSettings,
+    sessionId: String,
+    autoResume: Boolean,
+    message: String?,
+) {
+    requestFromServer(
+        settings,
+        "/sessions/$sessionId/auto-resume",
+        method = "POST",
+        jsonBody =
+            JSONObject()
+                .put("autoResume", autoResume)
+                // Empty means the server's default rather than a session poked with nothing to
+                // read, which is the same rule the server applies to the field.
+                .put("message", message?.trim()?.ifEmpty { null } ?: JSONObject.NULL)
+                .toString(),
+    ) {}
+}
+
 fun setSessionNotify(settings: ServerSettings, sessionId: String, notify: Boolean) {
     requestFromServer(
         settings,