Report re-entrancy depth and tag torn behaviors

A single re-entrant emission can only strand a contiguous run of a
behavior's subscribers, so a tile that is both 'speaking' and 'waiting
for media' (a middle subscriber stranded) implies a nested re-entry.
Report the nesting depth and log each new depth once instead of only the
first re-entry, and tag splitBehavior-derived behaviors with their field
name so the warning identifies which behavior tore.

src/state/ObservableScope.test.ts

@@ -239,27 +239,33 @@ describe("Reconcile", () => {
 });
 
 describe("behavior", () => {
-  it("warns when a subscriber re-enters the behavior synchronously", () => {
+  it("warns with the tag and nesting depth, logging each new depth once", () => {
     const warn = vi.spyOn(logger, "warn").mockImplementation(() => {});
     const scope = new ObservableScope();
     const source$ = new Subject<number>();
-    const behavior$ = scope.behavior(source$, 0);
-    // A subscriber that reacts to the value 1 by synchronously emitting 2
+    const behavior$ = scope.behavior(source$, 0, "tagged");
+    // Re-enter once on value 1 (depth 2), then a nested re-entry on value 2
+    // (depth 3), which is the shape needed to strand a middle subscriber.
     behavior$.subscribe((v) => {
       if (v === 1) source$.next(2);
     });
+    behavior$.subscribe((v) => {
+      if (v === 2) source$.next(3);
+    });
     const seen: number[] = [];
     behavior$.subscribe((v) => seen.push(v));
 
     source$.next(1);
 
-    expect(warn).toHaveBeenCalledWith(
-      expect.stringContaining("Behavior re-entered"),
-      expect.any(String),
-    );
-    // Documents the hazard the warning is about: the later subscriber ends up
-    // with the stale value 1 even though the behavior's value is 2.
-    expect(behavior$.value).toBe(2);
+    const messages = warn.mock.calls.map((c) => c[0] as string);
+    expect(messages).toEqual([
+      expect.stringContaining("Behavior (tagged) re-entered at depth 2"),
+      expect.stringContaining("Behavior (tagged) re-entered at depth 3"),
+    ]);
+    warn.mock.calls.forEach((c) => expect(c[1]).toEqual(expect.any(String)));
+    // The behavior settles on the newest value while the last subscriber is
+    // left stranded on the oldest.
+    expect(behavior$.value).toBe(3);
     expect(seen.at(-1)).toBe(1);
     scope.end();
   });

src/state/ObservableScope.ts

@@ -68,6 +68,9 @@ export class ObservableScope {
   public behavior<T>(
     setValue$: Observable<T>,
     initialValue: T | typeof nothing = nothing,
+    // An optional label used only in the re-entrancy warning below, so that a
+    // torn behavior can be identified from a rageshake.
+    tag?: string,
   ): Behavior<T> {
     const subject$ = new BehaviorSubject(initialValue);
     // Push values from the Observable into the BehaviorSubject.
@@ -78,25 +81,29 @@ export class ObservableScope {
     // If a subscriber synchronously causes this same behavior to emit again,
     // rxjs delivers the nested value to every subscriber first and then
     // resumes delivering the outer (older) value to the remaining subscribers,
-    // leaving them permanently out of sync with the others. Log the first
-    // occurrence with a stack trace so that the re-entrant path can be found.
-    let delivering = false;
-    let reentryReported = false;
+    // leaving them permanently out of sync with the others. A single such
+    // re-entry can only strand a contiguous run of subscribers; stranding a
+    // subscriber in the middle of the list needs a nested (deeper) re-entry, so
+    // we report the depth and log each new depth (with a stack trace) rather
+    // than only the first occurrence, to make a nested re-entry visible.
+    let depth = 0;
+    let maxReportedDepth = 1;
     setValue$.pipe(this.bind(), distinctUntilChanged()).subscribe({
       next(value) {
-        if (delivering && !reentryReported) {
-          reentryReported = true;
+        if (depth > 0 && depth + 1 > maxReportedDepth) {
+          maxReportedDepth = depth + 1;
           logger.warn(
-            "Behavior re-entered while delivering a value; later subscribers will be left with a stale value",
+            `Behavior${tag ? ` (${tag})` : ""} re-entered at depth ${
+              depth + 1
+            } while delivering a value; later subscribers will be left with a stale value`,
             new Error().stack,
           );
         }
-        const wasDelivering = delivering;
-        delivering = true;
+        depth++;
         try {
           subject$.next(value);
         } finally {
-          delivering = wasDelivering;
+          depth--;
         }
       },
       error(err: unknown) {
@@ -193,7 +200,11 @@ export class ObservableScope {
     return Object.fromEntries(
       Object.keys(input$.value).map((key) => [
         `${key}$`,
-        this.behavior(input$.pipe(map((input) => input[key as keyof T]))),
+        this.behavior(
+          input$.pipe(map((input) => input[key as keyof T])),
+          nothing,
+          key,
+        ),
       ]),
     ) as SplitBehavior<T>;
   }