test(vue): Fix unstyled button E2E test timeout errors #11206

Job	Run time
check-permissions	2s
Formatting, linting & changeset checks	1m 30s
Unit Tests (18)	40s
Unit Tests (22)	40s
Integration Tests (generic, chrome)	4m 31s
Integration Tests (express, chrome)	1m 47s
Integration Tests (quickstart, chrome)	2m 9s
Integration Tests (ap-flows, chrome)	2m 25s
Integration Tests (elements, chrome)	2m 27s
Integration Tests (sessions, chrome)	4m 2s
Integration Tests (astro, chrome)	3m 8s
Integration Tests (expo-web, chrome)	2m 7s
Integration Tests (tanstack-start, chrome)	3m 44s
Integration Tests (tanstack-router, chrome)	1m 53s
Integration Tests (vue, chrome)	1m 51s
Integration Tests (nuxt, chrome)	2m 13s
Integration Tests (react-router, chrome)	1m 51s
Integration Tests (nextjs, chrome, 13)	6m 18s
Integration Tests (nextjs, chrome, 14)	6m 15s
Integration Tests (nextjs, chrome, 15)	5m 51s
	55m 24s

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