Implement basic API interaction

web/app/routes/logbook.me/route.tsx

@@ -0,0 +1,12 @@
+import { useMe } from "@/util/hooks";
+import { Container, Title } from "@mantine/core";
+
+export default function Me() {
+  const me = useMe();
+
+  return (
+    <Container>
+      <Title order={2}>{me.data?.username}</Title>
+    </Container>
+  );
+}