fix(providers): unify connection and routing flows (#7629)

* fix(providers): unify connection and routing flows

* docs(changelog): add provider flow consistency entry

* test(providers): move section-visibility cases to own file (test file-size cap)

Co-authored-by: diegosouzapw <8016841+diegosouzapw@users.noreply.github.com>

* refactor(api): extract fetchLiveNoAuthModels + toLiveModel helpers (cognitive-complexity gate on buildNoAuthModelsResponse)

Co-authored-by: diegosouzapw <8016841+diegosouzapw@users.noreply.github.com>

---------

Co-authored-by: nguyenha935 <208228297+nguyenha935@users.noreply.github.com>
Co-authored-by: diegosouzapw <8016841+diegosouzapw@users.noreply.github.com>

src/shared/utils/providerConnectionStatus.ts

@@ -0,0 +1,46 @@
+export interface ProviderConnectionStatusLike {
+  isActive?: boolean | null;
+  testStatus?: string | null;
+  rateLimitedUntil?: string | number | Date | null;
+}
+
+const CONNECTED_STATUSES = new Set(["active", "success", "unknown"]);
+const ERROR_STATUSES = new Set(["error", "expired", "unavailable"]);
+
+export function getEffectiveProviderConnectionStatus(
+  connection: ProviderConnectionStatusLike,
+  now = Date.now()
+): string {
+  const status = connection.testStatus || "unknown";
+  if (status !== "unavailable") return status;
+
+  const rawCooldownUntil = connection.rateLimitedUntil;
+  const cooldownUntil =
+    rawCooldownUntil instanceof Date
+      ? rawCooldownUntil.getTime()
+      : typeof rawCooldownUntil === "string" || typeof rawCooldownUntil === "number"
+        ? new Date(rawCooldownUntil).getTime()
+        : Number.NaN;
+  const isCoolingDown = Number.isFinite(cooldownUntil) && cooldownUntil > now;
+  return isCoolingDown ? status : "active";
+}
+
+export function isProviderConnectionConnected(
+  connection: ProviderConnectionStatusLike,
+  now = Date.now()
+): boolean {
+  return (
+    connection.isActive !== false &&
+    CONNECTED_STATUSES.has(getEffectiveProviderConnectionStatus(connection, now))
+  );
+}
+
+export function isProviderConnectionErrored(
+  connection: ProviderConnectionStatusLike,
+  now = Date.now()
+): boolean {
+  return (
+    connection.isActive !== false &&
+    ERROR_STATUSES.has(getEffectiveProviderConnectionStatus(connection, now))
+  );
+}