chore (examples): cloud deployment of remix example #1832

Job	Run time
List examples	5s
List packages	7s
Build and test (packages/typescript-client)	1m 12s
Check packages/typescript-client	33s
Build and test (packages/experimental)	1m 7s
Check packages/experimental	30s
Build and test (packages/react-hooks)	1m 17s
Check packages/react-hooks	32s
Check and build examples/encryption	38s
Check and build examples/proxy-auth	34s
Check and build examples/linearlite-read-only	47s
Check and build examples/tanstack	40s
Check and build examples/linearlite	1m 0s
Check and build examples/gatekeeper-auth	39s
Check and build examples/write-patterns	48s
Check and build examples/yjs	59s
Check and build examples/remix	39s
Check and build examples/react	35s
Check and build examples/todo-app	41s
Check and build examples/bash	24s
Check and build examples/nextjs	1m 0s
Check and build examples/redis	32s
	15m 19s

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