Open the Battle Tower and add the badges' type boosts (Closes #32)

The Route 40 gate, the Battle Tower and its rooms are open with the
offline challenge: the rules, the save before entering, the level menu
with its level and uber checks, seven trainers drawn from
BattleTowerTrainers with Pokémon from BattleTowerMons, BattleTowerText,
save and quit with the receptionist resuming it, cancelling, losing and
the vitamin reward. After each battle the party and Pokédex return to the
quick save's, as LoadPokemonData does.

Battle Tower battles turn off obedience, badge boosts, experience, items,
AI items and prize money, use Falkner's AI attributes, keep Sleep to one
to three turns and never fail the AI's status moves at random. New script
command battletowertext; new specials BattleTowerAction (offline actions),
BattleTowerRoomMenu, CheckForBattleTowerRules, BattleTowerBattle,
LoadOpponentTrainerAndPokemonWithOTSprite, Menu_ChallengeExplanationCancel,
TryQuickSave and Reset.

DoBadgeTypeBoosts was missing from every battle; it now adds an eighth of
the damage for the first badge matching the move's type on the player's
turn, checked against the original routine.

This completes Johto from Azalea to Blackthorn: Kanto, the League and the
S.S. Aqua continue on #33; radio, rematches and Buena's password on #30.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

src/main.ts

@@ -971,6 +971,9 @@ function showBattle(world: GameWorld) {
                 }),
             )
           : button("PACK", () => {
+              // BattleMenu_Pack.ItemsCantBeUsed: the engine says why.
+              if (prompt.noItems)
+                return runtime.battleAction({ action: "item", item: 0, slot: -1 });
               showPack = true;
               showWorld(world);
             }),