feat(api): implement user authentication and registration endpoints

- Add main application logic in `api/src/main.rs` to initialize server, database, and services.
- Create authentication routes in `api/src/routes/auth.rs` for login, register, logout, and user info retrieval.
- Implement configuration route in `api/src/routes/config.rs` to expose application settings.
- Define application state management in `api/src/state.rs` to share user service and configuration.
- Set up Docker Compose configuration in `compose.yml` for backend, worker, and database services.
- Establish domain logic in `domain` crate with user entities, repositories, and services.
- Implement SQLite user repository in `infra/src/user_repository.rs` for user data persistence.
- Create database migration handling in `infra/src/db.rs` and session store in `infra/src/session_store.rs`.
- Add necessary dependencies and features in `Cargo.toml` files for both `domain` and `infra` crates.

Cargo.lock

@@ -32,6 +32,37 @@ version = "1.0.100"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a23eb6b1614318a8071c9b2521f36b424b2c83db5eb3a0fead4a6c0809af6e61"
 
+[[package]]
+name = "api"
+version = "0.1.0"
+dependencies = [
+ "anyhow",
+ "async-trait",
+ "axum",
+ "axum-login",
+ "chrono",
+ "config",
+ "domain",
+ "dotenvy",
+ "infra",
+ "k-core",
+ "password-auth",
+ "serde",
+ "serde_json",
+ "sqlx",
+ "thiserror 2.0.17",
+ "time",
+ "tokio",
+ "tower",
+ "tower-http",
+ "tower-sessions",
+ "tower-sessions-sqlx-store",
+ "tracing",
+ "tracing-subscriber",
+ "uuid",
+ "validator",
+]
+
 [[package]]
 name = "argon2"
 version = "0.5.3"
@@ -558,6 +589,22 @@ dependencies = [
  "const-random",
 ]
 
+[[package]]
+name = "domain"
+version = "0.1.0"
+dependencies = [
+ "anyhow",
+ "async-trait",
+ "chrono",
+ "futures-core",
+ "serde",
+ "serde_json",
+ "thiserror 2.0.17",
+ "tokio",
+ "tracing",
+ "uuid",
+]
+
 [[package]]
 name = "dotenvy"
 version = "0.15.7"
@@ -1125,6 +1172,28 @@ dependencies = [
  "hashbrown 0.16.1",
 ]
 
+[[package]]
+name = "infra"
+version = "0.1.0"
+dependencies = [
+ "async-nats",
+ "async-trait",
+ "chrono",
+ "domain",
+ "futures-core",
+ "futures-util",
+ "k-core",
+ "serde",
+ "serde_json",
+ "sqlx",
+ "thiserror 2.0.17",
+ "tokio",
+ "tower-sessions",
+ "tower-sessions-sqlx-store",
+ "tracing",
+ "uuid",
+]
+
 [[package]]
 name = "itoa"
 version = "1.0.17"
@@ -2401,75 +2470,6 @@ dependencies = [
  "syn",
 ]
 
-[[package]]
-name = "template-api"
-version = "0.1.0"
-dependencies = [
- "anyhow",
- "async-trait",
- "axum",
- "axum-login",
- "chrono",
- "config",
- "dotenvy",
- "k-core",
- "password-auth",
- "serde",
- "serde_json",
- "sqlx",
- "template-domain",
- "template-infra",
- "thiserror 2.0.17",
- "time",
- "tokio",
- "tower",
- "tower-http",
- "tower-sessions",
- "tower-sessions-sqlx-store",
- "tracing",
- "tracing-subscriber",
- "uuid",
- "validator",
-]
-
-[[package]]
-name = "template-domain"
-version = "0.1.0"
-dependencies = [
- "anyhow",
- "async-trait",
- "chrono",
- "futures-core",
- "serde",
- "serde_json",
- "thiserror 2.0.17",
- "tokio",
- "tracing",
- "uuid",
-]
-
-[[package]]
-name = "template-infra"
-version = "0.1.0"
-dependencies = [
- "async-nats",
- "async-trait",
- "chrono",
- "futures-core",
- "futures-util",
- "k-core",
- "serde",
- "serde_json",
- "sqlx",
- "template-domain",
- "thiserror 2.0.17",
- "tokio",
- "tower-sessions",
- "tower-sessions-sqlx-store",
- "tracing",
- "uuid",
-]
-
 [[package]]
 name = "thiserror"
 version = "1.0.69"