apps/playwright-service(deps): bump the prod-deps group

Bumps the prod-deps group in /apps/playwright-service with 2 updates: [fastapi](https://github.com/fastapi/fastapi) and [playwright](https://github.com/microsoft/playwright-python).


Updates `fastapi` from 0.111.0 to 0.115.6
- [Release notes](https://github.com/fastapi/fastapi/releases)
- [Commits](fastapi/fastapi@0.111.0...0.115.6)

Updates `playwright` from 1.44.0 to 1.49.1
- [Release notes](https://github.com/microsoft/playwright-python/releases)
- [Commits](microsoft/playwright-python@v1.44.0...v1.49.1)

---
updated-dependencies:
- dependency-name: fastapi
  dependency-type: direct:production
  update-type: version-update:semver-minor
  dependency-group: prod-deps
- dependency-name: playwright
  dependency-type: direct:production
  update-type: version-update:semver-minor
  dependency-group: prod-deps
...

Signed-off-by: dependabot[bot] <[email protected]>

apps/playwright-service/requirements.txt

@@ -1,4 +1,4 @@
 hypercorn==0.17.3
-fastapi==0.111.0
-playwright==1.44.0
+fastapi==0.115.6
+playwright==1.49.1
 uvicorn