feat!: Migrate from aws-lambda-typing to aws-lambda-powertools for La… #850

Job	Run time
typescript / Check Typescript chatbot	30s
typescript / Check Typescript library	39s
typescript / Check Typescript E2E tests	31s
python / Check Python chatbot	12s
python / Check Python E2E tests	12s
python / Check Python library	31s
cdk / Check Typescript-based Dog Facts Server	1m 36s
cdk / Check Typescript-based Cat Facts Server	1m 32s
cdk / Check Python-based Time Server	1m 49s
cdk / Check Typescript-based Cognito stack	18s
cdk / Check Python-based MCP Doc Server	1m 46s
cdk / Check Python-based Dad Jokes Server	1m 53s
cdk / Check Typescript-based Weather Alerts Server	1m 43s
	13m 12s

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