Add Egypt V3 country profile: disaster state / survival gameplay

Egyptian crisis: EVERYTHING broken simultaneously
- Roman protectorate (no sovereignty), 5+ faction deadlock
- Population explosion (bread subsidy legacy), can't feed/employ people
- Lost Sudan (Ilkhanate), lost Sinai (Italy), shrunk to just Nile Valley
- NILE DAM CRISIS: Ilkhanate building dam in Sudan → existential water threat
- Migrant crisis: surplus population flooding Italian Empire → xenophobia → undermines Roman universalism

5 factions: Roman administration, Mamluk-Mongol aristocracy, Sunni populists,
Pan-Arabists, peasant movements, + small modernizer class

6 possible paths: Roman integration, Mamluk restoration, Islamic revolution,
Modernizer's Egypt, Pan-Arab dream, or complete collapse

Cross-country mechanic: Egyptian migrant events fire in BOTH Egypt and Italy
Nile Dam event chain: diplomacy/sabotage/accept/reconquer Sudan

Flavor: Cairo as immortal cultural capital despite state failure

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

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