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>

.beans/nuzlocke-tracker-xa5k--display-encounter-less-locations-for-egg-hatching.md

@@ -1,11 +1,11 @@
 ---
 # nuzlocke-tracker-xa5k
 title: Add egg encounter logging
-status: todo
+status: in-progress
 type: feature
 priority: normal
 created_at: 2026-02-08T14:49:50Z
-updated_at: 2026-02-08T20:55:33Z
+updated_at: 2026-02-08T21:17:56Z
 ---
 
 Allow players to log egg hatches at any location, similar to how shiny encounters work. A "Log Egg" button (next to "Log Shiny") opens a modal that shows all locations — including those without wild encounters — so the player can record where an egg hatched.
@@ -19,7 +19,7 @@ Egg encounters should:
 ## Checklist
 
 - [ ] Data: Seed locations without wild encounters into the routes table via PokeAPI (so they appear in the route list)
-- [ ] Backend: Bypass route-lock for egg encounters (extend `skip_route_lock` with an egg origin)
-- [ ] Frontend: Add "Log Egg" button to the run encounters page header (next to "Log Shiny")
-- [ ] Frontend: Create `EggEncounterModal` — similar to `ShinyEncounterModal` but shows all routes (including encounter-less ones) and uses `origin: "egg"` 
-- [ ] Frontend: Ensure egg encounters display normally in team view and route list
+- [x] Backend: Bypass route-lock for egg encounters (extend `skip_route_lock` with an egg origin)
+- [x] Frontend: Add "Log Egg" button to the run encounters page header (next to "Log Shiny")
+- [x] Frontend: Create `EggEncounterModal` — similar to `ShinyEncounterModal` but shows all routes (including encounter-less ones) and uses `origin: "egg"`
+- [x] Frontend: Ensure egg encounters display normally in team view and route list