chore(deps): bump axios from 1.11.0 to 1.12.1 in /examples/servers/dog-facts #1258

Job	Run time
python / Check Python chatbot	10s
python / Check Python library	50s
typescript / Check Typescript chatbot	36s
python / Check Python E2E tests	10s
typescript / Check Typescript E2E tests	38s
typescript / Check Typescript library	46s
cdk / Check Typescript-based Cat Facts Server	1m 43s
cdk / Check Typescript-based Dog Facts Server	1m 37s
cdk / Check Typescript-based Dictionary Server	1m 51s
cdk / Check Python-based Time Server	1m 57s
cdk / Check Python-based Dad Jokes Server	2m 10s
cdk / Check Typescript-based Weather Alerts Server	1m 32s
cdk / Check Python-based Book Search Server	2m 19s
cdk / Check Python-based MCP Doc Server	2m 12s
cdk / Check Python-based Zen Server	43s
cdk / Check Typescript-based Cognito stack	26s
	19m 40s

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