feat(go): M6.6 — /qr, /sync-bank, /flush-cache, /version pages

- GET /qr: Czech QR Platba PNG; ports Python qr_code() exactly
  (account validation, amount clamping, * stripping, SPD format)
- GET /sync-bank: Fio sync → infer → cache flush with captured log
- GET+POST /flush-cache: form + action, shows deleted count
- GET /version: JSON alias of /api/version (Python parity)
- FlushCache() added to membership.Sources; wired through api.Handler
- web.ActionHandlers{BankSync} closure-based dep injection for sync
- New dep: github.com/skip2/go-qrcode
- TestQRBuildSPD (9 cases), TestServeQR, TestServeFlushCache{GET,POST},
  TestServeSync, TestServeVersion added

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

go/cmd/fuj/main.go

@@ -11,6 +11,7 @@ import (
 	"fuj-management/go/internal/services/banksync"
 	"fuj-management/go/internal/services/membership"
 	"fuj-management/go/internal/web"
+	"io"
 	"log/slog"
 	"os"
 	"time"
@@ -82,9 +83,40 @@ func serverCmd(args []string) {
 		os.Exit(1)
 	}
 
+	sheetsCli, err := sheets.New(ctx, cfg.CredentialsPath, cfg.DriveTimeout)
+	if err != nil {
+		fmt.Fprintf(os.Stderr, "fuj server: sheets client for sync: %v\n", err)
+		os.Exit(1)
+	}
+	fioCli := fio.New(cfg.FioAPIToken, config.IBANAccountNum(cfg.BankAccount), nil)
+
+	actions := web.ActionHandlers{
+		BankSync: func(ctx context.Context, out io.Writer) error {
+			yr := time.Now().Year()
+			from := time.Date(yr, 1, 1, 0, 0, 0, 0, time.UTC)
+			to := time.Date(yr, 12, 31, 23, 59, 59, 0, time.UTC)
+
+			fmt.Fprintln(out, "=== Sync Fio Transactions ===")
+			n, err := banksync.SyncToSheets(ctx, config.PaymentsSheetID, fioCli, sheetsCli,
+				banksync.SyncOpts{From: from, To: to, Sort: true})
+			if err != nil {
+				return fmt.Errorf("sync: %w", err)
+			}
+			fmt.Fprintf(out, "Synced %d new transaction(s).\n\n", n)
+
+			fmt.Fprintln(out, "=== Infer Payments ===")
+			n, err = banksync.InferPayments(ctx, config.PaymentsSheetID, sheetsCli, sources, banksync.InferOpts{})
+			if err != nil {
+				return fmt.Errorf("infer: %w", err)
+			}
+			fmt.Fprintf(out, "Inferred %d row(s).\n", n)
+			return nil
+		},
+	}
+
 	build := web.BuildInfo{Version: version, Commit: commit, BuildDate: buildDate}
 
-	if err := web.Run(logger, cfg.ServerAddr, build, sources, cfg); err != nil {
+	if err := web.Run(logger, cfg.ServerAddr, build, sources, cfg, actions); err != nil {
 		fmt.Fprintln(os.Stderr, err)
 		os.Exit(1)
 	}