fix(terminal): keep row alignment in the full-history pane replay

Switching to a session left the caret one row below the composer's input
line, on the box border, and every cursor-relative update the CLI sent
afterwards was measured from the wrong row. Any fresh output repaired it,
because the CLI then repainted the whole frame.

Two things were wrong with the full-history replay, and they compound.

The capture never restored the cursor. The visible-frame path ends with an
absolute cursor move back to the pane's position; the linear path returned
its text and left the caret wherever the last character landed, which for an
agent CLI is the bottom-most row carrying text — the status line.

The rows it addressed did not line up with the pane's rows either. Four
transforms ran over the capture and each can delete a line: the trailing
blank rows were stripped, redraw-bloat stripping ran, the trim that cuts
everything above the Claude banner ran, and leading whitespace was removed.
All four are right for a byte stream of successive frames. A capture is the
rendered pane, one line per screen row, so each deletion shifted the frame
out from under the restored cursor.

The full-history path now appends the pane's own cursor position and keeps
every row, so row N of the reply is row N of the pane. The visible-frame and
tail paths are untouched.

Restoring the cursor is what makes row alignment load-bearing here, and
neither CLAUDE.md nor the architecture invariants said so — which is how
four line-deleting transforms accumulated on the path. Both now record it.

Verified against a live 315x59 pane: the reply carries 59 rows, its row 55
is the composer's input line matching tmux, and it ends with the cursor move
that lands there.

src/web/routes/session-routes.ts

@@ -2649,8 +2649,16 @@ export function registerSessionRoutes(
     // During long thinking phases, Ink rewrites the same rows thousands of times
     // (500KB+). Without stripping, tail mode returns only spinner frames and
     // the terminal appears empty when switching tabs.
+    // A full reload's buffer IS the rendered pane, one line per screen row, and
+    // it ends with an absolute cursor move back to the pane's own position.
+    // Every transform below that can DELETE A LINE would shift the rows out from
+    // under that position, leaving the caret a row off — on the composer's
+    // border rather than its input line. Redraw-bloat stripping exists for a
+    // byte stream of successive frames; a capture holds no successive frames.
     let strippedBuffer =
-      getCli(session.mode)?.capabilities.stripInkBloat === false ? rawBuffer : stripInkRedrawBloat(rawBuffer);
+      isFullReload || getCli(session.mode)?.capabilities.stripInkBloat === false
+        ? rawBuffer
+        : stripInkRedrawBloat(rawBuffer);
 
     // Strip alt-screen toggles and scrollback-erase from Codex/Claude byte
     // streams. xterm.js obeys them by switching to its scrollback-less alt
@@ -2688,7 +2696,10 @@ export function registerSessionRoutes(
       cleanBuffer = strippedBuffer;
 
       // Find where Claude banner starts (has color codes before "Claude")
-      const claudeMatch = cleanBuffer.match(CLAUDE_BANNER_PATTERN);
+      // Skipped for a full reload: the banner sits at whatever row the pane has
+      // it, and cutting to it would drop the blank rows above and move every
+      // row up by that many.
+      const claudeMatch = isFullReload ? null : cleanBuffer.match(CLAUDE_BANNER_PATTERN);
       if (claudeMatch && claudeMatch.index !== undefined && claudeMatch.index > 0) {
         let lineStart = claudeMatch.index;
         while (lineStart > 0 && cleanBuffer[lineStart - 1] !== '\n') {
@@ -2699,7 +2710,11 @@ export function registerSessionRoutes(
     }
 
     // Remove Ctrl+L and leading whitespace (cheap on tailed subset)
-    cleanBuffer = cleanBuffer.replace(CTRL_L_PATTERN, '').replace(LEADING_WHITESPACE_PATTERN, '');
+    // Leading whitespace goes too, except on a full reload where a leading
+    // blank line is the pane's own first row and dropping it shifts every row
+    // up by one.
+    cleanBuffer = cleanBuffer.replace(CTRL_L_PATTERN, '');
+    if (!isFullReload) cleanBuffer = cleanBuffer.replace(LEADING_WHITESPACE_PATTERN, '');
 
     const finishedAt = performance.now();
     reply.header(