Feature/fsg gamma team ui fix (#3)

## Summary

What changed and why?

## Change Type

- [ ] Cowork feature
- [ ] Bug fix
- [x] Core AI contribution
- [ ] Test / hardening
- [ ] Performance
- [ ] Documentation

## Related Work

Cowork Task:

Core Repo: http://34.143.229.138/gitea-admin/fsg-ai-core-assets

Core AI Issue:

Core Task:

Related PR:

## Scope

What is intentionally included?

What is intentionally NOT included?

## Validation

- [ ] Unit tests
- [ ] Integration tests
- [ ] Manual verification
- [ ] Regression check

Commands / evidence:

## Security Impact

Permission / credential / network / customer data impact:

## Compatibility

- [ ] No breaking change
- [ ] Breaking change documented

## Reviewer Notes

Anything Cowork reviewers should pay attention to.

---------

Co-authored-by: Hiep Ha Van <hiephv3@fpt.com>
Co-authored-by: Nam Pham Dinh Thanh <nampdt@fpt.com>
Co-authored-by: Lam Hoang Van <lamhv7@fpt.com>
Co-authored-by: NamPDT <minhanhpkpro@gmail.com>
Reviewed-on: #3

tools/check_combo_popup.py

@@ -0,0 +1,94 @@
+"""A drop-list must have room for its text and for the tick beside it.
+
+macOS marks the current row with a checkmark; Windows does not. The language
+combo is only as wide as "VN", and the popup inherits that width, so on macOS
+the tick landed on top of the two letters. Reported from a Mac, so this checks
+the property that made it possible rather than the platform.
+"""
+from __future__ import annotations
+
+import os
+import sys
+
+sys.stdout.reconfigure(encoding="utf-8", errors="replace")
+
+from pathlib import Path
+
+REPO = Path(__file__).resolve().parent.parent
+sys.path.insert(0, str(REPO.parent))
+sys.path.insert(0, str(Path(__file__).resolve().parent))
+os.environ.setdefault("QT_QPA_PLATFORM", "offscreen")
+
+from capture_screens import (  # noqa: E402
+    _apply_theme, _freeze_schedulers, _isolate_home, _load_fonts)
+
+
+def main() -> int:
+    sandbox = _isolate_home()
+    from PySide6.QtWidgets import QApplication, QStyle
+
+    app = QApplication([])
+    _load_fonts()
+    _freeze_schedulers()
+    _apply_theme(app)
+
+    from cowork_local.config import CONFIG_DIR
+    assert str(sandbox) in str(CONFIG_DIR), f"isolation failed: {CONFIG_DIR}"
+
+    from seed_demo_data import seed
+    seed()
+
+    from cowork_local.app import MainWindow
+    from cowork_local.config import AppConfig
+    from cowork_local.i18n import set_language
+    from cowork_local.state import AppContext
+
+    set_language("vi")
+    win = MainWindow(AppContext(AppConfig.load()), user_name="local")
+    win.resize(1400, 900)
+    win.show()
+    app.processEvents()
+
+    fails = []
+    from PySide6.QtWidgets import QStyledItemDelegate
+    for name in ("language_combo", "nav_project", "provider_combo"):
+        combo = getattr(win, name, None)
+        if combo is None or not combo.count():
+            continue
+        view = combo.view()
+        fm = view.fontMetrics()
+        longest = max(fm.horizontalAdvance(combo.itemText(i))
+                      for i in range(combo.count()))
+        tick = combo.style().pixelMetric(QStyle.PM_IndicatorWidth, None, combo)
+        need = longest + tick
+        have = max(view.minimumWidth(), combo.width())
+        print(f"{name:15}: chu dai nhat {longest:>4}px + dau tick {tick:>3}px "
+              f"= can {need:>4}px | popup rong {have:>4}px")
+        if have < need:
+            fails.append(f"{name}: popup {have}px, khong du {need}px cho chu + dau tick")
+
+        # No tick: the row is already tinted, and the menu-style delegate that
+        # draws one on macOS covered the two letters it was marking.
+        deleg = combo.itemDelegate()
+        plain = type(deleg) is QStyledItemDelegate
+        print(f"{'':15}  delegate={type(deleg).__name__} (khong ve dau tick={plain})")
+        if not plain:
+            fails.append(f"{name}: dung delegate kieu menu — macOS se ve dau tick")
+
+        # ...and the current row must still be obvious without one.
+        view = combo.view()
+        sheet = app.styleSheet()
+        if "selection-background-color" not in sheet:
+            fails.append("popup khong to mau muc dang chon")
+
+    print()
+    for f in fails:
+        print("FAIL  " + f)
+    print("PASS  moi drop-list du cho chu va dau tick" if not fails
+          else f"{len(fails)} problem(s)")
+    sys.stdout.flush()
+    os._exit(1 if fails else 0)
+
+
+if __name__ == "__main__":
+    raise SystemExit(main())