feat: add PostgreSQL database integration for projects

- Add SQLx with Postgres support and migration system
- Create projects table with status enum and auto-updated timestamps
- Implement database queries and API response conversion layer
- Add Justfile commands for database management and seeding
- Integrate health checks for both Bun and database connectivity

Cargo.toml

@@ -2,6 +2,7 @@
 name = "api"
 version = "0.1.0"
 edition = "2024"
+default-run = "api"
 
 [dependencies]
 aws-config = "1.8.12"
@@ -9,6 +10,7 @@ aws-sdk-s3 = "1.119.0"
 axum = "0.8.8"
 clap = { version = "4.5.54", features = ["derive", "env"] }
 dashmap = "6.1.0"
+dotenvy = "0.15"
 futures = "0.3.31"
 include_dir = "0.7.4"
 mime_guess = "2.0.5"
@@ -17,6 +19,7 @@ rand = "0.9.2"
 reqwest = { version = "0.13.1", default-features = false, features = ["rustls", "charset", "json", "stream"] }
 serde = { version = "1.0.228", features = ["derive"] }
 serde_json = "1.0.148"
+sqlx = { version = "0.8", features = ["runtime-tokio", "tls-rustls", "postgres", "uuid", "time", "migrate"] }
 time = { version = "0.3.44", features = ["formatting", "macros"] }
 tokio = { version = "1.49.0", features = ["full"] }
 tokio-util = { version = "0.7.18", features = ["io"] }
@@ -25,3 +28,4 @@ tower-http = { version = "0.6.8", features = ["trace", "cors", "limit"] }
 tracing = "0.1.44"
 tracing-subscriber = { version = "0.3.22", features = ["env-filter", "json"] }
 ulid = { version = "1", features = ["serde"] }
+uuid = { version = "1", features = ["serde", "v4"] }