chore(examples): Update examples to latest electric (#1318)

I've updated most examples (left Ionic one as we might deprecate it, the
checkout as it will also require a deploy, and linearlite cause it has
multiproject, multiuser PRs open that use updated electric)

I've manually tested these against the canary as well but wanted this PR
to be in a mergeable state.

.changeset/thick-radios-whisper.md

@@ -0,0 +1,5 @@
+---
+"create-electric-app": patch
+---
+
+Remove `legacy-peer-deps` npm installation option with new templates

.github/workflows/examples_e2e.yml

@@ -21,7 +21,12 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        example_dir: ['examples/web-wa-sqlite', 'examples/web-wa-sqlite-vuejs']
+        example_dir:
+          [
+            'examples/web-wa-sqlite',
+            'examples/web-wa-sqlite-vuejs',
+            'examples/web-pglite',
+          ]
     defaults:
       run:
         working-directory: ${{ matrix.example_dir }}
@@ -33,7 +38,7 @@ jobs:
           cache: npm
           cache-dependency-path: |
             ${{ matrix.example_dir }}/package-lock.json
-            examples/_testing/package-lock.json 
+            examples/_testing/package-lock.json
       - name: Install dependencies
         run: npm ci
       - name: Start backend, run migrations, generate client

examples/_testing/e2e/web/basic.spec.ts

@@ -40,7 +40,7 @@ test.describe('basic example', () => {
 
     // added items persist reload
     await page.reload()
-    await page.waitForTimeout(300)
+    await page.waitForTimeout(1000)
     await expect(await items.count()).toBe(3)
   })