Is there any docs how to setup ETH faucet app for fuel node locally?

Hello

I am looking to run locally faucet app like this https://faucet-beta-2.fuel.network/ but providing different url to node.

You should be able to change the env configuration as shown in the README in this repo: GitHub - FuelLabs/faucet

You can take a look also on the wallet repo. We have a docker-compose config with faucet and fuel-core: fuels-wallet/docker at master · FuelLabs/fuels-wallet · GitHub