fix: View Path "N approximate" counted chain appearances, not distinct nodes

A shared entry-point repeater near the sender commonly appears in
many branches' chains (one relay a dozen stations all heard the
packet through). The status count summed every chain appearance
instead of deduping by node identity, so a single approximate-
position node showing up in 11 branches reported "11 approximate"
-- dborup spotted this on a real packet and asked whether it could
be right; it wasn't, it was the same node counted 11 times.

Dedupes by publicKey (falling back to name when a point has none).

public/packet-path-map.js

@@ -192,6 +192,12 @@
     var bounds = [];
     var missingTotal = 0;
     var approxTotal = 0;
+    // The same physical node (e.g. a shared entry-point repeater near the
+    // sender) commonly appears in many branches' chains -- dedupe by
+    // identity so "N approximate" counts distinct stations, not chain
+    // appearances (#1... a packet heard by 12 stations through one shared
+    // repeater was showing "11 approximate" for what was really 1 node).
+    var approxSeen = {};
     // Draw secondary branches first so the primary (deepest) one ends up on top.
     var ordered = plotted.slice().sort(function (a, b) { return (a.primary ? 1 : 0) - (b.primary ? 1 : 0); });
     ordered.forEach(function (p) {
@@ -199,7 +205,13 @@
       var lineColor = p.primary ? accent : muted;
       var line = [];
       p.chain.forEach(function (pt) {
-        if (pt.approx) approxTotal++;
+        if (pt.approx) {
+          var approxKey = pt.publicKey || pt.name;
+          if (!approxSeen[approxKey]) {
+            approxSeen[approxKey] = true;
+            approxTotal++;
+          }
+        }
         bounds.push([pt.lat, pt.lon]);
         line.push([pt.lat, pt.lon]);
         var color = pt.isObserver ? observerColor : lineColor;

test-packet-path-map.js

@@ -320,6 +320,50 @@ function makeSandbox(apiImpl) {
     } catch (e) { failed++; console.log('  ❌ approximate (neighbor-borrowed) positions render hollow/dashed and are called out in status: ' + e.message); }
   })();
 
+  await (async () => {
+    try {
+      // A shared entry-point node with an approximate position commonly
+      // appears in MANY branches' chains (e.g. one repeater near the
+      // sender that a dozen stations all relayed through). The status
+      // count must dedupe by identity -- 1 distinct approximate node
+      // showing up in 3 branches is "1 approximate", not "3".
+      const ctx = makeSandbox(() => Promise.resolve({
+        hash: 'deadbeef',
+        branches: [
+          {
+            hops: 2,
+            points: [{ publicKey: 'pk-shared', name: 'SharedRepeater', lat: 56.0, lon: 10.0, approx: true }],
+            observer: { name: 'ObserverA', lat: 56.1, lon: 10.1 },
+          },
+          {
+            hops: 1,
+            points: [{ publicKey: 'pk-shared', name: 'SharedRepeater', lat: 56.0, lon: 10.0, approx: true }],
+            observer: { name: 'ObserverB', lat: 56.2, lon: 10.2 },
+          },
+          {
+            hops: 1,
+            points: [{ publicKey: 'pk-shared', name: 'SharedRepeater', lat: 56.0, lon: 10.0, approx: true }],
+            observer: { name: 'ObserverC', lat: 56.3, lon: 10.3 },
+          },
+        ],
+      }));
+
+      ctx.L = {
+        map: () => ({ setView() { return this; }, fitBounds() {}, invalidateSize() {}, remove() {} }),
+        tileLayer: () => ({ addTo() { return this; } }),
+        circleMarker: () => ({ addTo() { return this; }, bindTooltip() { return this; }, on() { return this; } }),
+        polyline: () => ({ addTo() { return this; } }),
+      };
+
+      await ctx.window.PacketPathMap.open('deadbeef');
+      const status = ctx.document.getElementById('packetPathStatus');
+      assert.ok(status.textContent.includes('1 approximate'), 'status should count the shared node once (1 approximate), not once per branch it appears in, got: ' + status.textContent);
+      assert.ok(!status.textContent.includes('3 approximate'), 'status should NOT count 3 -- that would be counting chain appearances, not distinct nodes, got: ' + status.textContent);
+      passed++;
+      console.log('  ✅ "N approximate" dedupes a shared node across branches instead of counting each chain appearance');
+    } catch (e) { failed++; console.log('  ❌ "N approximate" dedupes a shared node across branches instead of counting each chain appearance: ' + e.message); }
+  })();
+
   await (async () => {
     try {
       // branch.secondsAfterFirst (0 for the earliest arrival, positive