Add a login test against Synapse to Playwright (#11913)

* Install playwright

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Add foundations for writing tests under Playwright

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* .gitignore juggling

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Add tsconfig and fix eslint rules

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Add docker & synapse plugins

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Add login.spec.ts

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Wire up fixture which sets up ElementAppPage & bakes config.json

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Remove launch test, it has served its purpose

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Remove test which has been ported to Playwright

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Fix test not cleaning up after itself

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Move registerUser to the Homeserver interface

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Remove unused fixture param

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Remove redundant launch test

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>

* Add newline

---------

Signed-off-by: Michael Telatynski <7t3chguy@gmail.com>
Co-authored-by: R Midhun Suresh <hi@midhun.dev>

playwright/plugins/synapse/templates/email/homeserver.yaml

@@ -0,0 +1,44 @@
+server_name: "localhost"
+pid_file: /data/homeserver.pid
+public_baseurl: "{{PUBLIC_BASEURL}}"
+listeners:
+    - port: 8008
+      tls: false
+      bind_addresses: ["::"]
+      type: http
+      x_forwarded: true
+
+      resources:
+          - names: [client]
+            compress: false
+
+database:
+    name: "sqlite3"
+    args:
+        database: ":memory:"
+
+log_config: "/data/log.config"
+
+media_store_path: "/data/media_store"
+uploads_path: "/data/uploads"
+enable_registration: true
+registrations_require_3pid:
+    - email
+registration_shared_secret: "{{REGISTRATION_SECRET}}"
+report_stats: false
+macaroon_secret_key: "{{MACAROON_SECRET_KEY}}"
+form_secret: "{{FORM_SECRET}}"
+signing_key_path: "/data/localhost.signing.key"
+
+trusted_key_servers:
+    - server_name: "matrix.org"
+suppress_key_server_warning: true
+
+ui_auth:
+    session_timeout: "300s"
+
+email:
+    smtp_host: "%SMTP_HOST%"
+    smtp_port: %SMTP_PORT%
+    notif_from: "Your Friendly %(app)s homeserver <noreply@example.com>"
+    app_name: my_branded_matrix_server