feat(search): add Meilisearch-backed SearchClient (index, search, remove)

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

Cargo.toml

@@ -1,6 +1,6 @@
 [workspace]
 resolver = "3"
-members = ["crates/domain", "crates/db", "crates/api", "crates/server"]
+members = ["crates/domain", "crates/db", "crates/api", "crates/server", "crates/search"]
 
 [workspace.package]
 edition = "2024"
@@ -23,3 +23,4 @@ tracing-subscriber = { version = "0.3", features = ["env-filter"] }
 tower = { version = "0.5", features = ["util"] }
 http-body-util = "0.1"
 reqwest = { version = "0.12", default-features = false, features = ["json", "rustls-tls"] }
+meilisearch-sdk = "0.33"