chore(deps): bump typescript in /examples/servers/dog-facts #1452

Job	Run time
python / Check Python E2E tests	12s
typescript / Check Typescript chatbot	40s
typescript / Check Typescript E2E tests	15m 15s
python / Check Python chatbot	15s
python / Check Python library	52s
typescript / Check Typescript library	51s
cdk / Check Typescript-based Cognito stack	20s
cdk / Check Typescript-based Dog Facts Server	1m 42s
cdk / Check Typescript-based Cat Facts Server	1m 39s
cdk / Check Python-based MCP Doc Server	2m 10s
cdk / Check Python-based Book Search Server	2m 44s
cdk / Check Python-based Time Server	1m 53s
cdk / Check Python-based Dad Jokes Server	2m 2s
cdk / Check Typescript-based Weather Alerts Server	1m 40s
cdk / Check Python-based Zen Server	33s
cdk / Check Typescript-based Dictionary Server	1m 44s
	34m 32s

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