feat(lobby): surface Doomsday Clock preset + anonymous names as lobby settings (#4616)

## Description:

Public rotation lobbies can run the **Doomsday Clock** at one of four
presets (slow/normal/fast/veryfast), and lobbies can **anonymize player
names**, but the lobby UI surfaced neither: the Doomsday Clock badge was
generic and there were no settings cards for either. Players couldn't
tell what a lobby was actually set to.

This surfaces both as regular lobby settings, matching how the other
modifiers already display:

- **Settings cards** (join/waiting view): adds a "Doomsday Clock" card
showing the active preset name, and an "Anonymous Players" card,
alongside the existing modifier cards.
- **Lobby badge** (home lobby list): the Doomsday Clock badge now reads
"Doomsday Clock: Fast" instead of the generic label. Falls back to the
plain label when no speed is present (older payloads / non-rotation
lobbies).

Client-only. Both `doomsdayClock.speed` and `anonymizeNames` already
ship in the public `GameConfig`, so no server or schema changes are
needed.


## Please complete the following:

- [] 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

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

zixer._

resources/lang/en.json

@@ -1149,6 +1149,7 @@
     "disable_alliances_label": "Alliances",
     "doomsday_clock": "Doomsday Clock",
     "doomsday_clock_label": "Doomsday Clock",
+    "doomsday_clock_with_speed": "Doomsday Clock: {speed}",
     "gold_multiplier": "x{amount} Gold Multiplier",
     "hard_nations": "Hard Nations",
     "nukes_disabled": "Nukes Disabled",