docs: migrate documentation to Fumadocs

scripts/check-openapi-schema.mts

@@ -5,13 +5,13 @@ import { openApiDocument } from "../packages/api/src/open-api";
 
 const baseUrl = "http://localhost:3000";
 const generated = JSON.parse(JSON.stringify(openApiDocument(baseUrl))) as unknown;
-const checkedIn = JSON.parse(await readFile("apps/docs/static/api/open-api-schema.json", "utf8")) as unknown;
+const checkedIn = JSON.parse(await readFile("apps/docs/public/api/open-api-schema.json", "utf8")) as unknown;
 
 try {
   assert.deepStrictEqual(checkedIn, generated);
 } catch {
   console.error(
-    "The checked-in OpenAPI schema is stale. Regenerate it from openApiDocument and update apps/docs/static/api/open-api-schema.json.",
+    "The checked-in OpenAPI schema is stale. Regenerate it from openApiDocument and update apps/docs/public/api/open-api-schema.json.",
   );
   process.exitCode = 1;
 }