Add egglocke, wonderlocke, and randomizer variant rules

When any variant rule is enabled, the encounter modal switches from
the game's regional dex to an all-Pokemon search (same debounced
API pattern as EggEncounterModal). A new "Run Variant" section in
rules configuration groups these rules, and badges render in amber.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

.beans/nuzlocke-tracker-fitk--add-egglocke-wonderlocke-and-randomizer-rules.md

@@ -1,22 +1,10 @@
 ---
 # nuzlocke-tracker-fitk
 title: Add egglocke, wonderlocke, and randomizer rules
-status: todo
+status: completed
 type: feature
+priority: normal
 created_at: 2026-02-20T19:56:05Z
-updated_at: 2026-02-20T19:56:05Z
+updated_at: 2026-02-20T20:31:29Z
 parent: nuzlocke-tracker-49xj
 ---
-
-Add three new boolean rules that all share the same tracker logic: when enabled, the encounter Pokemon selector allows picking from ALL Pokemon (not just the game's regional dex).
-
-- `egglocke` — all caught Pokemon are replaced with traded eggs
-- `wonderlocke` — all caught Pokemon are Wonder Traded away
-- `randomizer` — the run uses a randomized ROM
-
-## Checklist
-
-- [ ] Add `egglocke`, `wonderlocke`, `randomizer` to `NuzlockeRules` interface and `DEFAULT_RULES` (default: false)
-- [ ] Add `RuleDefinition` entries with appropriate categories
-- [ ] When any of these is enabled, encounter Pokemon selector should allow picking from ALL Pokemon
-- [ ] Reuse the existing "all Pokemon" selector pattern used in admin panel encounter creation and boss team creation