feat(courses): add type, search, and pricing filters to org landing page

- Add Types section to the Filter sidebar with all 4 course types
- Add full-text search input centered in the hero (title + description)
- Add Pricing section (Free / Paid) based on course cost
- Compact hero prop across all 10 themes to halve vertical padding
- Children snippet support in all hero themes for the search input
- All filters are URL-driven (?types=, ?search=, ?tags=, ?pricing=)
- Full-stack: validation schema, DB queries, service, API route, server load, UI

packages/utils/src/validation/organization/organization.ts

@@ -19,6 +19,9 @@ export type TGetOrganizations = z.infer<typeof ZGetOrganizations>;
 export const ZGetCoursesBySiteName = z.object({
   siteName: z.string().min(1),
   tags: z.string().optional(),
+  types: z.string().optional(),
+  search: z.string().trim().optional(),
+  pricing: z.enum(['free', 'paid']).optional(),
   page: z.coerce.number().int().min(1).optional(),
   limit: z.coerce.number().int().min(1).max(100).optional()
 });