fix(docker): invoke playwright CLI by package path to survive --omit=dev

`npm install --omit=dev` in the production stage skips @playwright /test but
leaves a dangling `.bin/playwright` symlink that used to resolve to it.
`npx playwright` then fails with "playwright: not found" even though the
runtime `playwright` package is installed.

Call `node node_modules/playwright/cli.js install chromium` directly to
bypass the `.bin/` lookup and install the Chromium browser from the
production `playwright` package.

Made-with: Cursor

Dockerfile

@@ -57,9 +57,13 @@ COPY backend/package.json backend/package-lock.json* ./
 RUN npm install --omit=dev
 COPY --from=backend-build /app/dist ./dist
 
-# Install Playwright Chromium browser binaries
+# Install Playwright Chromium browser binaries.
+# We invoke the playwright CLI through its package path instead of `npx
+# playwright` because the `.bin/playwright` symlink clashes with the one
+# shipped by @playwright/test (dev-only) and isn't recreated when npm is run
+# with --omit=dev.
 ENV PLAYWRIGHT_BROWSERS_PATH=/app/browsers
-RUN npx playwright install chromium
+RUN node node_modules/playwright/cli.js install chromium
 
 # Copy frontend build
 COPY --from=frontend-build /app/frontend/dist ./frontend-dist