refactor: extract psysonic-analysis crate (M2/7)

Moves analysis_cache + analysis_runtime out of the top crate into a new
psysonic-analysis crate, plus the runtime user-agent facade into
psysonic-core. The audio↔analysis dependency cycle is broken via a
PlaybackQueryHandle port registered as Tauri State.

  crates/psysonic-analysis/                new lib crate
    src/analysis_cache/{mod,store,compute} unchanged behaviour
    src/analysis_runtime.rs                + enqueue_analysis_seed (was
                                           in lib_commands/cache/offline)

  crates/psysonic-core/src/
    user_agent.rs                          subsonic_wire_user_agent +
                                           runtime/default helpers
                                           (was in top lib.rs)
    ports.rs                               PlaybackQueryHandle: closure
                                           wrapper, not Arc<dyn Trait>,
                                           so existing State<AudioEngine>
                                           callsites stay unchanged

The shell setup hook registers the real PlaybackQueryHandle once the
AppHandle is available; the closure captures it and re-resolves
AudioEngine via try_state at each call.

Top crate keeps `crate::analysis_cache`, `crate::analysis_runtime`,
`crate::subsonic_wire_user_agent`, and `crate::submit_analysis_cpu_seed`
working via re-exports — no audio/lib_commands callsite needed editing.

Behaviour preserving. Cargo check + clippy --workspace clean (only
pre-existing warnings carry over).

src-tauri/Cargo.toml

@@ -31,6 +31,7 @@ tauri-build = { version = "2", features = [] }
 
 [dependencies]
 psysonic-core = { path = "crates/psysonic-core" }
+psysonic-analysis = { path = "crates/psysonic-analysis" }
 tauri = { version = "2", features = ["tray-icon", "image-png"] }
 tauri-plugin-single-instance = "2"
 tauri-plugin-shell = "2"