Add egg encounter logging with route-lock bypass

Egg hatches can now be logged at any location without consuming the
route's encounter slot. Adds an EggEncounterModal with pokemon search
and a "Log Egg" button on the run encounters page.

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

frontend/src/components/index.ts

@@ -1,3 +1,4 @@
+export { EggEncounterModal } from './EggEncounterModal'
 export { EncounterMethodBadge } from './EncounterMethodBadge'
 export { EncounterModal } from './EncounterModal'
 export { EndRunModal } from './EndRunModal'