feat(api): wire POST /tabs/parse endpoint with fetcher and parser

crates/api/Cargo.toml

@@ -0,0 +1,27 @@
+[package]
+name = "api"
+version = "0.1.0"
+edition = "2024"
+
+[dependencies]
+anyhow = { workspace = true }
+axum = { version = "0.8.8", features = ["macros"] }
+serde = { workspace = true }
+serde_json = { workspace = true }
+thiserror = { workspace = true }
+tokio = { workspace = true }
+tower-http = { version = "0.6.8", features = [
+    "cors",
+    "fs",
+    "trace",
+    "tracing",
+] }
+tracing = { workspace = true }
+tracing-subscriber = { workspace = true }
+uuid = { workspace = true }
+rand = { workspace = true }
+
+persistence = { path = "../infrastructure/persistence" }
+common = { path = "../common" }
+domain = { path = "../domain" }
+ug-parser = { path = "../infrastructure/ug-parser" }