fix: install typescript globally and use --ignore-scripts to avoid proxy failures

Install tsc globally so it's available on PATH regardless of
devDependency resolution issues. Use --ignore-scripts and explicit
registry to work around Apple npm proxy interference.

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

sync/Dockerfile

@@ -1,13 +1,14 @@
-# Stage 1: build TypeScript — copy pre-installed node_modules from context
+# Stage 1: build TypeScript
 FROM node:20-slim AS builder
 WORKDIR /app
+RUN npm install -g typescript --registry https://registry.npmjs.org
 COPY package.json package-lock.json ./
-COPY node_modules ./node_modules
+RUN npm install --registry https://registry.npmjs.org --ignore-scripts
 COPY tsconfig.json ./
 COPY src ./src
-RUN ./node_modules/.bin/tsc && npm prune --production
+RUN tsc && npm prune --production --registry https://registry.npmjs.org
 
-# Stage 2: runtime with Playwright — copy built artifacts, no npm install
+# Stage 2: runtime with Playwright
 FROM mcr.microsoft.com/playwright:v1.47.0-jammy
 WORKDIR /app
 RUN npx playwright install chromium --with-deps