chore(deps): bump typescript in /examples/servers/weather-alerts #1411

Job	Run time
python / Check Python library	44s
python / Check Python E2E tests	8s
python / Check Python chatbot	14s
cdk / Check Python-based MCP Doc Server	2m 6s
cdk / Check Python-based Book Search Server	2m 37s
cdk / Check Python-based Dad Jokes Server	2m 6s
cdk / Check Python-based Time Server	1m 47s
cdk / Check Python-based Zen Server	36s
cdk / Check Typescript-based Cat Facts Server	1m 33s
cdk / Check Typescript-based Weather Alerts Server	1m 35s
cdk / Check Typescript-based Cognito stack	20s
cdk / Check Typescript-based Dog Facts Server	1m 35s
cdk / Check Typescript-based Dictionary Server	1m 58s
typescript / Check Typescript library	44s
typescript / Check Typescript E2E tests	46s
typescript / Check Typescript chatbot	41s
	19m 30s

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