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>

cypress/e2e/login/soft_logout.spec.ts

@@ -33,6 +33,7 @@ describe("Soft logout", () => {
 
     afterEach(() => {
         cy.stopHomeserver(homeserver);
+        cy.task("stopOAuthServer");
     });
 
     describe("with password user", () => {