Bump `next` to `13`; keep up-to-date with their latest to support typing #1415

Job	Run time
Local API diff	1m 5s
Lint	59s
Package	56s
Runtime (14)	1m 51s
Types (latest)	1m 13s
Runtime (16)	2m 33s
Create examples test matrix	4s
Types (next)	54s
Runtime (18)	1m 39s
Types (beta)	57s
Runtime (20)	1m 44s
Types (~5.2.0)	1m 5s
Types (~5.1.0)	56s
Types (~5.0.0)	1m 16s
Types (~4.9.0)	1m 18s
Types (~4.8.0)	53s
Types (~4.7.0)	55s
Test examples (framework-nuxt)	2m 21s
Test examples (framework-nextjs)	2m 22s
Test examples (framework-remix)	2m 16s
Test examples (framework-fastify)	1m 54s
	29m 11s

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