chore(repo): ensure playwright is installed before running e2e tests (#29006)

We're using Playwright by default, but the e2e test is ensuring Cypress
installation.

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## Current Behavior
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## Expected Behavior
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Fixes #

.nx/workflows/agents.yaml

@@ -38,7 +38,7 @@ launch-templates:
       - name: Install Browsers
         script: |
           pnpm exec cypress install
-          pnpm exec playwright install
+          pnpm exec playwright install --with-deps
 
       - name: Install Rust
         script: |
@@ -95,7 +95,7 @@ launch-templates:
       - name: Install Browsers
         script: |
           pnpm exec cypress install
-          pnpm exec playwright install
+          pnpm exec playwright install --with-deps
 
       - name: Install Rust
         script: |

e2e/next/src/next.test.ts

@@ -184,7 +184,7 @@ describe('Next.js Applications', () => {
 
     runCLI(`generate @nx/next:app ${appName} --no-interactive --style=css`);
 
-    if (runE2ETests('cypress')) {
+    if (runE2ETests('playwright')) {
       const e2eResults = runCLI(`e2e-ci ${appName}-e2e --verbose`, {
         verbose: true,
         env: {