chore: rehaul DevX (#10571)

# Which Problems Are Solved

Replaces Turbo by Nx and lays the foundation for the next CI
improvements. It enables using Nx Cloud to speed the up the pipelines
that affect any node package.
It streamlines the dev experience for frontend and backend developers by
providing the following commands:

| Task | Command | Notes |
|------|---------|--------|
| **Production** | `nx run PROJECT:prod` | Production server |
| **Develop** | `nx run PROJECT:dev` | Hot reloading development server
|
| **Test** | `nx run PROJECT:test` | Run all tests |
| **Lint** | `nx run PROJECT:lint` | Check code style |
| **Lint Fix** | `nx run PROJECT:lint-fix` | Auto-fix style issues |

The following values can be used for PROJECT:

- @zitadel/zitadel (root commands)
- @zitadel/api,
- @zitadel/login,
- @zitadel/console,
- @zitadel/docs,
- @zitadel/client
- @zitadel/proto

The project names and folders are streamlined:

| Old Folder | New Folder |
| --- | --- |
| ./e2e | ./tests/functional-ui |
| ./load-test | ./benchmark |
| ./build/zitadel | ./apps/api |
| ./console | ./apps/console (postponed so the PR is reviewable) |  

Also, all references to the TypeScript repo are removed so we can
archive it.

# How the Problems Are Solved

- Ran `npx nx@latest init`
- Replaced all turbo.json by project.json and fixed the target configs
- Removed Turbo dependency
- All JavaScript related code affected by a PRs changes is
quality-checked using the `nx affected` command
- We move PR checks that are runnable using Nx into the `check`
workflow. For workflows where we don't use Nx, yet, we restore
previously built dependency artifacts from Nx.
- We only use a single and easy to understand dev container
- The CONTRIBUTING.md is streamlined
- The setup with a generated client pat is orchestrated with Nx
- Everything related to the TypeScript repo is updated or removed. A
**Deploy with Vercel** button is added to the docs and the
CONTRIBUTING.md.

# Additional Changes

- NPM package names have a consistent pattern.
- Docker bake is removed. The login container is built and released like
the core container.
- The integration tests build the login container before running, so
they don't rely on the login container action anymore. This fixes
consistently failing checks on PRs from forks.
- The docs build in GitHub actions is removed, as we already build on
Vercel.

# Additional Context

- Internal discussion:
https://zitadel.slack.com/archives/C087ADF8LRX/p1756277884928169
- Workflow dispatch test:
https://github.com/zitadel/zitadel/actions/runs/17760122959

---------

Co-authored-by: Florian Forster <[email protected]>
Co-authored-by: Tim Möhlmann <[email protected]>
Co-authored-by: Copilot <[email protected]>

docs/package.json

@@ -1,29 +1,24 @@
 {
-  "name": "zitadel-docs",
-  "version": "0.0.0",
+  "name": "@zitadel/docs",
   "private": true,
   "scripts": {
-    "docusaurus": "docusaurus",
-    "dev": "docusaurus start",
-    "start": "docusaurus start",
-    "start:api": "pnpm run generate && docusaurus start",
-    "build": "pnpm run ensure-plugins && pnpm run generate && docusaurus build",
+    "dev": "docusaurus start --port 3100",
+    "prod": "docusaurus serve --port 3100",
+    "build": "docusaurus build",
     "swizzle": "docusaurus swizzle",
     "deploy": "docusaurus deploy",
     "clear": "docusaurus clear",
-    "serve": "docusaurus serve",
     "write-translations": "docusaurus write-translations",
     "write-heading-ids": "docusaurus write-heading-ids",
     "ensure-plugins": "if [ ! -f \"protoc-gen-connect-openapi/protoc-gen-connect-openapi\" ]; then sh ./plugin-download.sh; fi",
     "debug-plugins": "echo \"PWD: $(pwd)\" && echo \"Plugin file exists: $(test -f protoc-gen-connect-openapi/protoc-gen-connect-openapi && echo 'yes' || echo 'no')\" && echo \"Plugin executable: $(test -x protoc-gen-connect-openapi/protoc-gen-connect-openapi && echo 'yes' || echo 'no')\" && ls -la protoc-gen-connect-openapi/ || echo 'Plugin directory not found'",
-    "generate": "pnpm run generate:grpc && pnpm run generate:apidocs && pnpm run generate:configdocs",
-    "generate:grpc": "pnpm run ensure-plugins && buf generate ../proto",
-    "generate:apidocs": "docusaurus gen-api-docs all",
-    "generate:configdocs": "cp -r ../cmd/defaults.yaml ./docs/self-hosting/manage/configure/ && cp -r ../cmd/setup/steps.yaml ./docs/self-hosting/manage/configure/",
-    "generate:re-gen": "yarn generate:clean-all && pnpm generate",
-    "generate:clean-all": "docusaurus clean-api-docs all",
+    "generate-grpc": "buf generate ../proto",
+    "generate-apidocs": "docusaurus gen-api-docs all",
+    "generate-configdocs": "cp -r ../cmd/defaults.yaml ../cmd/setup/steps.yaml ./docs/self-hosting/manage/configure/",
+    "generate-re-gen": "yarn generate:clean-all && pnpm generate",
+    "generate-clean-all": "docusaurus clean-api-docs all",
     "postinstall": "sh ./plugin-download.sh",
-    "clean": "rm -rf node_modules .artifacts .docusaurus .turbo protoc-gen-connect-openapi docs/apis/resources"
+    "clean": "rm -rf node_modules .artifacts .docusaurus protoc-gen-connect-openapi docs/apis/resources"
   },
   "dependencies": {
     "@bufbuild/buf": "^1.14.0",