chore(repo): Update dependency vue to v3.5.13 #10692

Job	Run time
Formatting, linting & changeset checks	1m 17s
Unit Tests (18)	1m 38s
Unit Tests (22)	1m 37s
Integration Tests (generic, chrome)	7s
Integration Tests (express, chrome)	7s
Integration Tests (quickstart, chrome)	7s
Integration Tests (ap-flows, chrome)	7s
Integration Tests (elements, chrome)	7s
Integration Tests (sessions, chrome)	7s
Integration Tests (astro, chrome)	6s
Integration Tests (expo-web, chrome)	7s
Integration Tests (tanstack-start, chrome)	7s
Integration Tests (tanstack-router, chrome)	7s
Integration Tests (vue, chrome)	8s
Integration Tests (nuxt, chrome)	7s
Integration Tests (nextjs, chrome, 13)	8s
Integration Tests (nextjs, chrome, 14)	8s
Integration Tests (nextjs, chrome, 15)	7s
	6m 19s

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