diff --git a/crates/engine/src/cmd/live/commands.rs b/crates/engine/src/cmd/live/commands.rs
index 0db3987e29..2a427be32d 100644
--- a/crates/engine/src/cmd/live/commands.rs
+++ b/crates/engine/src/cmd/live/commands.rs
@@ -290,7 +290,7 @@ pub fn specs() -> Vec<CommandSpec> {
             "Add Mesh Line",
             [],
             None,
-            "{id, x, y, color? (#rrggbbaa and #rgba are refused), keepModel?: bool (as paint.setFill), tolerance?: pt (0)} add a row and a column through (x, y), inside or on the edge, to a gradient mesh (new point in `color`) or a mesh envelope; a point outside within `tolerance` of the edge adds them through the nearest point of the edge → {index}",
+            "{id, x, y, color? (#rrggbbaa and #rgba are refused), keepModel?: bool (as paint.setFill), tolerance?: pt (0)} add a row and a column through (x, y), inside or on the edge, to a gradient mesh (new point in `color`) or a mesh envelope; a point outside within `tolerance` of the edge adds them through the nearest point of the edge; at a point that is already a mesh point it adds no line, and records no undo step unless `color` changes it → {index}",
             has_doc,
             mesh_add_line
         ),
diff --git a/crates/engine/src/cmd/live/mesh.rs b/crates/engine/src/cmd/live/mesh.rs
index 187d2149f2..3a4d1851a0 100644
--- a/crates/engine/src/cmd/live/mesh.rs
+++ b/crates/engine/src/cmd/live/mesh.rs
@@ -122,9 +122,14 @@ fn with_mesh<T>(s: &mut Session, p: &Value, cmd: &str, label: &str, envelopes: b
 /// Run `f` on the gradient mesh `id` of `d`; with `envelopes`, a mesh envelope's grid too (its
 /// points and handles are written back: editing fills in the handles).
 fn edit_grid<T>(d: &mut Document, id: NodeId, cmd: &str, envelopes: bool, f: impl FnOnce(&mut GradientMesh) -> Result<T>) -> Result<T> {
-    match d.node_mut(id).map(|n| &mut n.kind) {
-        Some(NodeKind::Mesh(m)) => f(m),
-        Some(NodeKind::Envelope { kind, .. }) if envelopes && matches!(**kind, EnvelopeKind::Mesh { .. }) => {
+    edit_kind(&mut d.node_mut(id).ok_or(EngineError::NoNode(id))?.kind, cmd, envelopes, f)
+}
+
+/// [`edit_grid`] on a node's kind.
+fn edit_kind<T>(k: &mut NodeKind, cmd: &str, envelopes: bool, f: impl FnOnce(&mut GradientMesh) -> Result<T>) -> Result<T> {
+    match k {
+        NodeKind::Mesh(m) => f(m),
+        NodeKind::Envelope { kind, .. } if envelopes && matches!(**kind, EnvelopeKind::Mesh { .. }) => {
             let EnvelopeKind::Mesh { rows, cols, points, handles } = &mut **kind else {
                 return Err(bad(cmd, "not a gradient mesh or mesh envelope"));
             };
@@ -135,8 +140,7 @@ fn edit_grid<T>(d: &mut Document, id: NodeId, cmd: &str, envelopes: bool, f: imp
             *handles = m.points.iter().map(|q| q.handles).collect();
             Ok(r)
         }
-        Some(_) => Err(bad(cmd, if envelopes { "not a gradient mesh or mesh envelope" } else { "not a gradient mesh" })),
-        None => Err(EngineError::NoNode(id)),
+        _ => Err(bad(cmd, if envelopes { "not a gradient mesh or mesh envelope" } else { "not a gradient mesh" })),
     }
 }
 
@@ -281,12 +285,38 @@ pub(super) fn mesh_add_line(s: &mut Session, p: &Value) -> Result<Value> {
     check_numbers(p, &["tolerance"], C)?;
     let tol = f64_or(p, "tolerance", 0.0).max(0.0);
     let color = color_param(p, "color", C)?.map(|c| crate::cmd::paint::new_color(s, p, c));
-    let index = with_mesh(s, p, C, "Add Mesh Line", true, |m| {
+    let add = move |m: &mut GradientMesh| {
         let i = m.add_lines_at(q, tol).ok_or_else(|| bad(C, "point is outside the mesh"))?;
         if let Some(c) = color {
             m.points[i].color = c;
         }
         Ok(i)
+    };
+    let id = object_param(p, "id", C)?.ok_or_else(|| bad(C, "missing `id`"))?;
+    if s.script_running() {
+        return Err(EngineError::Busy);
+    }
+    // The lines are added to a copy of the object. A point that is already a mesh point adds none:
+    // when its color stays too, nothing changes and no undo step is recorded. The grid is compared,
+    // not the node: a mesh envelope stored without handles takes them in any edit.
+    let orig = s.doc()?.doc.node(id).ok_or(EngineError::NoNode(id))?.kind.clone();
+    let mut kind = orig.clone();
+    let (i, same) = edit_kind(&mut kind, C, true, |m| {
+        let before = m.clone();
+        let i = add(m)?;
+        Ok((i, *m == before))
+    })?;
+    if same {
+        return Ok(json!({ "index": i }));
+    }
+    let index = s.edit("Add Mesh Line", move |d, _| {
+        let n = d.node_mut(id).ok_or(EngineError::NoNode(id))?;
+        // Settling typed values before the edit may have changed the object: add the lines again.
+        if n.kind != orig {
+            return edit_kind(&mut n.kind, C, true, add);
+        }
+        n.kind = kind;
+        Ok(i)
     })?;
     Ok(json!({ "index": index }))
 }
diff --git a/crates/engine/src/tests/envelope.rs b/crates/engine/src/tests/envelope.rs
index 4ffd7a361a..4a9e6395c3 100644
--- a/crates/engine/src/tests/envelope.rs
+++ b/crates/engine/src/tests/envelope.rs
@@ -123,6 +123,25 @@ fn reset_with_warp_and_mesh_switch_the_kind_and_keep_the_content() {
     assert!(s.execute("object.envelope.resetWithMesh", &json!({})).is_err());
 }
 
+/// `object.mesh.addLine` at a point a mesh envelope already has (one stored without handles) adds
+/// no line and records no undo step; a point between its lines adds them as one step.
+#[test]
+fn mesh_envelope_add_line_at_a_mesh_point_records_no_undo_step() {
+    let mut s = session();
+    let (_, e) = enveloped(&mut s, "object.envelope.makeWithMesh", json!({"rows": 2, "cols": 2}));
+    let before = kind(&s, e);
+    assert!(matches!(&before, EnvelopeKind::Mesh { handles, .. } if handles.is_empty()), "{before:?}");
+    let undo_len = |s: &Session| s.doc().unwrap().history.undo.len();
+    let n = undo_len(&s);
+    for (x, y) in [(100.0, 100.0), (300.0, 200.0), (200.0, 150.0), (300.0, 150.0)] {
+        s.execute("object.mesh.addLine", &json!({"id": e.0, "x": x, "y": y})).unwrap();
+        assert_eq!((kind(&s, e), undo_len(&s)), (before.clone(), n), "({x}, {y}): nothing changed");
+    }
+    s.execute("object.mesh.addLine", &json!({"id": e.0, "x": 150, "y": 125})).unwrap();
+    assert!(matches!(kind(&s, e), EnvelopeKind::Mesh { rows: 3, cols: 3, .. }), "{:?}", kind(&s, e));
+    assert_eq!(undo_len(&s), n + 1);
+}
+
 /// A new warp envelope bends with its style's Bézier net (`version` [`live::WARP_NET`]) and keeps
 /// it through Reset with Warp. One saved before the version existed keeps the earlier map when its
 /// warp or its options change.
diff --git a/crates/engine/src/tests/live.rs b/crates/engine/src/tests/live.rs
index 4556e6f75f..7beb512ed0 100644
--- a/crates/engine/src/tests/live.rs
+++ b/crates/engine/src/tests/live.rs
@@ -1206,6 +1206,25 @@ fn mesh_add_line_exactly_on_the_edge_needs_no_tolerance() {
     assert_eq!(undo_len(&s), n, "nothing changed");
 }
 
+/// `object.mesh.addLine` at a point that is already a mesh point (a corner, a point on an edge or
+/// inside) adds no line and records no undo step; with a new `color` there it is one step.
+#[test]
+fn mesh_add_line_at_a_mesh_point_records_no_undo_step() {
+    let mut s = session();
+    let a = rect(&mut s, 0.0, 0.0, 100.0, 100.0);
+    sel(&mut s, &[a]);
+    s.execute("object.mesh.create", &json!({"rows": 2, "cols": 2})).unwrap();
+    let (before, n) = (mesh_of(&s, a), undo_len(&s));
+    for (x, y) in [(0.0, 0.0), (100.0, 100.0), (50.0, 100.0), (100.0, 50.0), (50.0, 50.0)] {
+        let r = s.execute("object.mesh.addLine", &json!({"id": a.0, "x": x, "y": y})).unwrap();
+        let p = mesh_of(&s, a).points[r["index"].as_u64().unwrap() as usize].p;
+        assert!(p.distance(Point::new(x, y)) < 0.5, "({x}, {y}): {p:?}");
+        assert_eq!((mesh_of(&s, a), undo_len(&s)), (before.clone(), n), "({x}, {y}): nothing changed");
+    }
+    s.execute("object.mesh.addLine", &json!({"id": a.0, "x": 100, "y": 100, "color": "#00ff00"})).unwrap();
+    assert_eq!(undo_len(&s), n + 1, "a new color is a step");
+}
+
 /// A mesh point `index`, and `rows`, `cols` or `columns` for Create Gradient Mesh, that is not a
 /// whole number is an error that changes nothing; 4.0 names point 4.
 #[test]
diff --git a/docs/mcp.md b/docs/mcp.md
index 30fe6efc65..a75646d618 100644
--- a/docs/mcp.md
+++ b/docs/mcp.md
@@ -9627,7 +9627,8 @@ right/left/down/up; none stored means the smooth mesh through the points, as old
 `object.mesh.deletePoint` edit them like a gradient mesh's (one undo step each). On the canvas a selected envelope
 shows its mesh; the Mesh tool and Direct Selection drag its points and the clicked point's handles, and the Mesh tool
 adds a row and a column where it clicks inside. `object.mesh.addLine`, and `object.mesh.create` with `at`, take a point exactly on
-the mesh's outline (within a millionth of a point) on any side without `tolerance`; a point outside needs `tolerance`. `press_key` Escape during a drag of a point or handle of a mesh
+the mesh's outline (within a millionth of a point) on any side without `tolerance`; a point outside needs `tolerance`. `object.mesh.addLine` at a point that is already a mesh
+point adds no line and records no undo step unless its `color` changes the point. `press_key` Escape during a drag of a point or handle of a mesh
 envelope or a gradient mesh cancels it: the point goes back and no undo step is added. The Control bar shows Edit Envelope / Edit Contents, the warp's
 style, orientation, bend and distortions (or the mesh's rows and columns), Reset (an unbent warp, a flat mesh) and
 Envelope Options.