feat(providers): add status filter to providers dashboard

Adds a client-side status filter (All / Active / Inactive / No
connection) to the Providers page, applied over the already-fetched
provider + connection list. Status derives from getProviderStats
(total, allDisabled); noAuth providers count as Active. Filter composes
with the existing search across all provider sections. Part of #3699.

tests/unit/providers-status-filter.test.js

@@ -0,0 +1,52 @@
+import { describe, expect, it } from "vitest";
+import {
+  STATUS_FILTER_OPTIONS,
+  getConnectionStatus,
+  matchesStatusFilter,
+} from "@/app/(dashboard)/dashboard/providers/utils.js";
+
+describe("providers status filter", () => {
+  it("exposes all/active/inactive/none options", () => {
+    expect(STATUS_FILTER_OPTIONS.map((o) => o.value)).toEqual([
+      "all",
+      "active",
+      "inactive",
+      "none",
+    ]);
+  });
+
+  it("classifies a provider with no connections as none", () => {
+    expect(getConnectionStatus({ total: 0, allDisabled: false })).toBe("none");
+  });
+
+  it("classifies a provider whose only connections are disabled as inactive", () => {
+    expect(getConnectionStatus({ total: 2, allDisabled: true })).toBe(
+      "inactive",
+    );
+  });
+
+  it("classifies a provider with at least one enabled connection as active", () => {
+    expect(getConnectionStatus({ total: 1, allDisabled: false })).toBe(
+      "active",
+    );
+  });
+
+  it("treats noAuth providers as active even with no stored connection", () => {
+    expect(getConnectionStatus({ total: 0, allDisabled: false }, true)).toBe(
+      "active",
+    );
+  });
+
+  it("matchesStatusFilter always passes for 'all'", () => {
+    expect(matchesStatusFilter("all", { total: 0, allDisabled: false })).toBe(
+      true,
+    );
+  });
+
+  it("matchesStatusFilter compares against the derived status", () => {
+    const disabledStats = { total: 3, allDisabled: true };
+    expect(matchesStatusFilter("inactive", disabledStats)).toBe(true);
+    expect(matchesStatusFilter("active", disabledStats)).toBe(false);
+    expect(matchesStatusFilter("none", disabledStats)).toBe(false);
+  });
+});