Let a session choose how hard it thinks

Output is about an eighth of what a session costs and thinking is nearly
all of it -- prose is ~1.5% of output tokens, measured over 27,015 requests
of this account's own transcripts -- so the level is the largest saving
available short of shortening the conversation itself.

Shaped like the working directory rather than like the model: the CLI's
only two setting control requests are `set_model` and `set_permission_mode`
(checked against the 2.1.258 binary), so `--effort` is read when the process
launches and cannot be asked of a running one. `set_session_effort` records
the level and stops the process; the next message or Start launches one that
has it. That is also why the picker is in the session settings dialog beside
Move, and not on the bar beside the model and the mode, which take effect
mid-turn.

`None` is a level in its own right -- the CLI's own default -- so the picker
can return to it, and a blank is normalized to it at the boundary rather
than stored as a level the CLI would reject.

Offered only where it means something: `DriverKind::takes_effort` reports
the capability and the phone leaves the row out entirely, rather than the
session-type branch this app does not have anywhere else. A llama session
would otherwise get a control whose only effect is stopping its process.

Verified on the emulator against the sandbox's fake CLI: the picker sets it,
the server reports it, and an echo session's dialog is unchanged.

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

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

@@ -142,6 +142,20 @@ data class SessionSummary(
     val keepsOwnTranscript: Boolean,
     /** How much the session asks before acting; null when it was never set. */
     val permissionMode: String?,
+    /**
+     * How hard the model thinks, or null for the CLI's own default.
+     *
+     * Null is a level somebody can choose, not only one to start in -- see [EFFORT_LEVELS]. It is
+     * reported rather than assumed for the same reason [permissionMode] is.
+     */
+    val effort: String?,
+    /**
+     * Whether a thinking level does anything here -- a Claude CLI session, not a llama or echo one.
+     *
+     * Asked of the server rather than worked out from the provider's name, because this is a
+     * property of the driver's *kind* and the phone only has the name.
+     */
+    val takesEffort: Boolean,
     /**
      * Whether this continues a session the machine already had, which changes what deleting means.
      */
@@ -203,6 +217,8 @@ private fun parseSession(session: JSONObject) =
         title = session.getString("title"),
         model = session.optString("model").ifEmpty { null },
         permissionMode = session.optString("permissionMode").ifEmpty { null },
+        effort = session.optString("effort").ifEmpty { null },
+        takesEffort = session.optBoolean("takesEffort", false),
         imported = session.optBoolean("imported", false),
         notify = session.optBoolean("notify", true),
         cwd = session.optString("cwd").ifEmpty { null },
@@ -992,6 +1008,35 @@ fun setSessionModel(settings: ServerSettings, sessionId: String, model: String)
  */
 val PERMISSION_MODES = listOf("manual", "acceptEdits", "auto", "bypassPermissions", "plan")
 
+/**
+ * How hard the model thinks, as `claude --effort` takes them, cheapest first.
+ *
+ * Not offered alongside the model and the permission mode on the session's own bar, because it does
+ * not behave like them: the CLI has a control request for those two and none for this (checked
+ * against 2.1.258), so a level is settled when the process is launched. Changing it therefore stops
+ * the process, which is what the working directory beside it in this dialog does, and why it is
+ * here rather than on a bar whose other controls take effect mid-turn.
+ */
+val EFFORT_LEVELS = listOf("low", "medium", "high", "xhigh", "max")
+
+/** What the picker shows, and sends as null, for a session that has chosen no level. */
+const val DEFAULT_EFFORT = "default"
+
+/**
+ * Records how hard a session thinks and **stops its process**, since the level is read when the
+ * process is launched. The next message, or Start, runs one that has it.
+ *
+ * [level] is null for the CLI's own default.
+ */
+fun setSessionEffort(settings: ServerSettings, sessionId: String, level: String?) {
+    requestFromServer(
+        settings,
+        "/sessions/$sessionId/effort",
+        method = "POST",
+        jsonBody = JSONObject().put("effort", level ?: JSONObject.NULL).toString(),
+    ) {}
+}
+
 /** Switches how much a running session asks before acting, also in place. */
 fun setSessionPermissionMode(settings: ServerSettings, sessionId: String, mode: String) {
     requestFromServer(