feat(library): add sqlite-backed library sync and stats

BREAKING CHANGE: Library data is now stored in a database and will require an initial sync. Existing in-memory library data is no longer used.

src-tauri/Cargo.lock

@@ -2247,6 +2247,7 @@ version = "0.30.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "2e99fb7a497b1e3339bc746195567ed8d3e24945ecd636e3619d20b9de9e9149"
 dependencies = [
+ "cc",
  "pkg-config",
  "vcpkg",
 ]
@@ -4153,6 +4154,8 @@ dependencies = [
  "smallvec",
  "thiserror 2.0.17",
  "time",
+ "tokio",
+ "tokio-stream",
  "tracing",
  "url",
 ]
@@ -4191,6 +4194,7 @@ dependencies = [
  "sqlx-postgres",
  "sqlx-sqlite",
  "syn 2.0.106",
+ "tokio",
  "url",
 ]
 
@@ -5019,6 +5023,17 @@ dependencies = [
  "tokio",
 ]
 
+[[package]]
+name = "tokio-stream"
+version = "0.1.17"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "eca58d7bba4a75707817a2c44174253f9236b2d5fbd055602e9d5c07c139a047"
+dependencies = [
+ "futures-core",
+ "pin-project-lite",
+ "tokio",
+]
+
 [[package]]
 name = "tokio-util"
 version = "0.7.16"