chore: Update example for Clerk v6 (#2312) #1063

Job	Run time
release	46s
Build examples / NestJS + Fastify	1m 32s
Build examples / NestJS	1m 32s
Build examples / NestJS + GraphQL	1m 24s
Build examples / NestJS + LaunchDarkly	1m 24s
Build examples / Next.js 14 + NextAuth 4	1m 48s
Build examples / Next.js + App Router + Rate Limit	1m 50s
Build examples / Next.js + App Router + Validate Email	1m 52s
Build examples / Next.js + Auth.js 5	1m 57s
Build examples / Next.js + Bot categories	1m 54s
Build examples / Next.js + Clerk + Rate Limit	1m 56s
Build examples / Next.js + Clerk + Shield	1m 57s
Build examples / Next.js + Decorate	1m 56s
Build examples / Next.js + OpenAI	1m 53s
Build examples / Next.js + Permit	2m 2s
Build examples / Next.js + Page Router + withArcjet	1m 49s
Build examples / Next.js + IP Details	1m 47s
Build examples / Next.js + Sensitive Info	1m 51s
Build examples / Next.js + Server Actions	1m 52s
Build examples / Node.js + Hono + Rate Limit	1m 22s
Build examples / Remix + Express	1m 25s
Build examples / SvelteKit	1m 22s
Run tests / Run tests (OS: ubuntu-latest, Node: 18)	2m 42s
Run tests / Run tests (OS: ubuntu-latest, Node: 20)	2m 37s
	42m 30s

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