Add 3 point arc (#5722)

* bare minimum

* start of segment util added

* remove redundant handle

* some probably buggy handling of arc handles, can fix later

* probably bug implementation of update args, but data flow through is mostly there can fix bugs after

* fix update for arc

* fix math for center handle

* fix up length indicator

* tweak math

* stub out xState logic for arc

* more progress on adding point and click, implemented more of sketchLineHelper for arc

* small unrelated tweak

* fix up draft arc bugs

* fix arc last click

* fix draft segment animation and add comment

* add draft point snapping for arcs

* add helper stuff to arc

* clone arc point and click as base for arc-three-point

* rust change for arc three point

* can draw three point arc

* make arcTo editable

* can add new three point arc, so long as it continues existing profile

* get overlays working

* make snap to for continuing profile work for three point arcs

* add draft animation

* tangent issue fix

* action rename

* tmp test fix up

* fix silly bug

* fix couple problems causing tests to fail

* A snapshot a day keeps the bugs away! 📷🐛 (OS: namespace-profile-ubuntu-8-cores)

* fix up

* add delet segment test for new segments

* update docs

* draft segments should look right

* add test for dragging new segment handles

* arc tools can be chained now

* make three point arc can start a new profile (not only extend existing paths)

* add test for equiping and unequiping the tool plus drawing with it

* fix console noise

* A snapshot a day keeps the bugs away! 📷🐛 (OS: namespace-profile-ubuntu-8-cores)

* clean up

* update rust/docs

* put toolbar mode check into fixture

* do thing for lee

* use TEST_COLORSs

* fix colors

* don't await file write

* remove commented code

* remove unneeded template strings

* power to **2

* remove magic numbers

* more string templates

* some odd bits of clean up

* arc should be enable in dev

* A snapshot a day keeps the bugs away! 📷🐛 (OS: namespace-profile-ubuntu-8-cores)

* A snapshot a day keeps the bugs away! 📷🐛 (OS: namespace-profile-ubuntu-8-cores)

* A snapshot a day keeps the bugs away! 📷🐛 (OS: namespace-profile-ubuntu-8-cores)

* add new simulation test

* fix test code from kwark migration

* issues Frank found

* fix deleting half complete ark

* fix

* small fix on dele index

* tsc post main merge

* fix up snaping to profile start

* add cross hari for three point arc

* block snapping if it's the only segment

* add tests for canceling arcTo halfway through

---------

Co-authored-by: github-actions[bot] <github-actions[bot]@users.noreply.github.com>

rust/kcl-lib/src/execution/geometry.rs

@@ -832,6 +832,19 @@ pub enum Path {
         #[ts(type = "[number, number]")]
         p3: [f64; 2],
     },
+    ArcThreePoint {
+        #[serde(flatten)]
+        base: BasePath,
+        /// Point 1 of the arc (base on the end of previous segment)
+        #[ts(type = "[number, number]")]
+        p1: [f64; 2],
+        /// Point 2 of the arc (interior kwarg)
+        #[ts(type = "[number, number]")]
+        p2: [f64; 2],
+        /// Point 3 of the arc (end kwarg)
+        #[ts(type = "[number, number]")]
+        p3: [f64; 2],
+    },
     /// A path that is horizontal.
     Horizontal {
         #[serde(flatten)]
@@ -892,6 +905,7 @@ impl From<&Path> for PathType {
             Path::AngledLineTo { .. } => Self::AngledLineTo,
             Path::Base { .. } => Self::Base,
             Path::Arc { .. } => Self::Arc,
+            Path::ArcThreePoint { .. } => Self::Arc,
         }
     }
 }
@@ -908,6 +922,7 @@ impl Path {
             Path::Circle { base, .. } => base.geo_meta.id,
             Path::CircleThreePoint { base, .. } => base.geo_meta.id,
             Path::Arc { base, .. } => base.geo_meta.id,
+            Path::ArcThreePoint { base, .. } => base.geo_meta.id,
         }
     }
 
@@ -922,6 +937,7 @@ impl Path {
             Path::Circle { base, .. } => base.tag.clone(),
             Path::CircleThreePoint { base, .. } => base.tag.clone(),
             Path::Arc { base, .. } => base.tag.clone(),
+            Path::ArcThreePoint { base, .. } => base.tag.clone(),
         }
     }
 
@@ -936,6 +952,7 @@ impl Path {
             Path::Circle { base, .. } => base,
             Path::CircleThreePoint { base, .. } => base,
             Path::Arc { base, .. } => base,
+            Path::ArcThreePoint { base, .. } => base,
         }
     }
 
@@ -985,6 +1002,10 @@ impl Path {
                 // TODO: Call engine utils to figure this out.
                 linear_distance(self.get_from(), self.get_to())
             }
+            Self::ArcThreePoint { .. } => {
+                // TODO: Call engine utils to figure this out.
+                linear_distance(self.get_from(), self.get_to())
+            }
         }
     }
 
@@ -999,6 +1020,7 @@ impl Path {
             Path::Circle { base, .. } => Some(base),
             Path::CircleThreePoint { base, .. } => Some(base),
             Path::Arc { base, .. } => Some(base),
+            Path::ArcThreePoint { base, .. } => Some(base),
         }
     }
 
@@ -1010,6 +1032,17 @@ impl Path {
                 center: *center,
                 ccw: *ccw,
             },
+            Path::ArcThreePoint { p1, p2, p3, .. } => {
+                let circle_center =
+                    crate::std::utils::calculate_circle_from_3_points([(*p1).into(), (*p2).into(), (*p3).into()]);
+                let radius = linear_distance(&[circle_center.center.x, circle_center.center.y], p1);
+                let center_point = [circle_center.center.x, circle_center.center.y];
+                GetTangentialInfoFromPathsResult::Circle {
+                    center: center_point,
+                    ccw: true,
+                    radius,
+                }
+            }
             Path::Circle {
                 center, ccw, radius, ..
             } => GetTangentialInfoFromPathsResult::Circle {