Improve client logging.

client/internal/services/core/database/database.go

@@ -21,6 +21,7 @@ type database struct {
 	options    core.Options
 	app        *application.Application
 	db         *sqlx.DB
+	logger     *slog.Logger
 	migrations map[string]fs.FS
 	dbPath     string
 	version    int64
@@ -51,7 +52,7 @@ func (d *database) Configure() error {
 
 	d.db = db
 
-	slog.Info("Database opened.", "path", d.dbPath)
+	d.logger.Info("Database opened.", "path", d.dbPath)
 
 	if err := d.initializeSysInfoHandler(); err != nil {
 		return fmt.Errorf("configure: %w", err)
@@ -93,6 +94,10 @@ func (d *database) ConnectDependencies() error {
 }
 
 func (d *database) Initialize() error {
+	d.logger = d.app.NewLogger("service", core.ServiceNameDatabase)
+
+	d.logger.Info("Initializing...")
+
 	d.migrations = make(map[string]fs.FS, 0)
 
 	return nil