Add ModeTemplate with Svelte 5 frontend and components

- Create reusable components: auth, api-client, shared-types
- ModeTemplate with Hono backend and SvelteKit frontend
- Auth store refactored to class-based Svelte 5 pattern
- SSR-safe hydrate() pattern for localStorage access
- Frontend builds successfully with Svelte 5 runes

ModeTemplate/frontend/.svelte-kit/output/server/chunks/equality.js

@@ -0,0 +1,14 @@
+function equals(value) {
+  return value === this.v;
+}
+function safe_not_equal(a, b) {
+  return a != a ? b == b : a !== b || a !== null && typeof a === "object" || typeof a === "function";
+}
+function safe_equals(value) {
+  return !safe_not_equal(value, this.v);
+}
+export {
+  safe_not_equal as a,
+  equals as e,
+  safe_equals as s
+};