Fix modal not closing when game starts (#1504)

## Description:
When a player joins a public game and opens a modal (such as the news
modal) while waiting for the game to start, the modal is not dismissed
when the game begins. This leaves the modal visible even after the match
has started.

<img width="1374" height="841" alt="スクリーンショット 2025-07-20 10 25 16"
src="https://github.com/user-attachments/assets/e7170e79-0f4c-442a-bbb9-cce23aa676e7"
/>

This PR fixes the bug described above.

## Please complete the following:

- [x] I have added screenshots for all UI updates
- [x] I process any text displayed to the user through translateText()
and I've added it to the en.json file
- [x] I have added relevant tests to the test directory
- [x] I confirm I have thoroughly tested these changes and take full
responsibility for any bugs introduced
- [x] I have read and accepted the CLA aggreement (only required once).

## Please put your Discord username so you can be contacted if a bug or
regression is found:

aotumuri

src/client/Main.ts

@@ -447,6 +447,9 @@ class Client {
           "game-top-bar",
           "help-modal",
           "user-setting",
+          "territory-patterns-modal",
+          "language-modal",
+          "news-modal",
         ].forEach((tag) => {
           const modal = document.querySelector(tag) as HTMLElement & {
             close?: () => void;