feat(api): Hono backend skeleton with /health endpoint and test

apps/api/src/app.ts

@@ -0,0 +1,8 @@
+import { Hono } from 'hono';
+import { health } from './routes/health';
+
+export function createApp(): Hono {
+  const app = new Hono();
+  app.route('/', health);
+  return app;
+}

apps/api/src/env.ts

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+export const env = {
+  DATABASE_URL: process.env.DATABASE_URL ?? 'file:./data/app.db',
+  BETTER_AUTH_SECRET: process.env.BETTER_AUTH_SECRET ?? 'dev-insecure-secret-change-me',
+  BETTER_AUTH_URL: process.env.BETTER_AUTH_URL ?? 'http://localhost:3000',
+  PORT: Number(process.env.PORT ?? 3000),
+};

apps/api/src/index.ts

@@ -0,0 +1,8 @@
+import { serve } from '@hono/node-server';
+import { createApp } from './app';
+import { env } from './env';
+
+const app = createApp();
+serve({ fetch: app.fetch, port: env.PORT }, (info) => {
+  console.log(`API listening on http://localhost:${info.port}`);
+});

apps/api/src/routes/health.ts

@@ -0,0 +1,9 @@
+import { Hono } from 'hono';
+import { HealthResponse } from '@solelog/shared';
+
+export const health = new Hono();
+
+health.get('/health', (c) => {
+  const body: HealthResponse = { status: 'ok' };
+  return c.json(body);
+});