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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.