Add experiments and plugins pages for study dashboard

src/app/(dashboard)/studies/[id]/experiments/page.tsx

@@ -0,0 +1,55 @@
+"use client";
+
+import { useParams } from "next/navigation";
+import { Suspense, useEffect } from "react";
+import { FlaskConical, Plus } from "lucide-react";
+import { ExperimentsDataTable } from "~/components/experiments/experiments-data-table";
+import { PageHeader } from "~/components/ui/page-header";
+import { Button } from "~/components/ui/button";
+import { useBreadcrumbsEffect } from "~/components/ui/breadcrumb-provider";
+import { useStudyContext } from "~/lib/study-context";
+import { useSelectedStudyDetails } from "~/hooks/useSelectedStudyDetails";
+
+export default function StudyExperimentsPage() {
+  const params = useParams();
+  const studyId: string = typeof params.id === "string" ? params.id : "";
+  const { setSelectedStudyId, selectedStudyId } = useStudyContext();
+  const { study } = useSelectedStudyDetails();
+
+  // Set breadcrumbs
+  useBreadcrumbsEffect([
+    { label: "Dashboard", href: "/dashboard" },
+    { label: "Studies", href: "/studies" },
+    { label: study?.name ?? "Study", href: `/studies/${studyId}` },
+    { label: "Experiments" },
+  ]);
+
+  // Sync selected study (unified study-context)
+  useEffect(() => {
+    if (studyId && selectedStudyId !== studyId) {
+      setSelectedStudyId(studyId);
+    }
+  }, [studyId, selectedStudyId, setSelectedStudyId]);
+
+  return (
+    <div className="space-y-6">
+      <PageHeader
+        title="Experiments"
+        description="Design and manage experiment protocols for this study"
+        icon={FlaskConical}
+        actions={
+          <Button asChild>
+            <a href={`/studies/${studyId}/experiments/new`}>
+              <Plus className="mr-2 h-4 w-4" />
+              Create Experiment
+            </a>
+          </Button>
+        }
+      />
+
+      <Suspense fallback={<div>Loading experiments...</div>}>
+        <ExperimentsDataTable />
+      </Suspense>
+    </div>
+  );
+}