Since m/44'/0'/0' worked and the code you gave above, I think it goes:
m/44'/client_id'/0'
(either that or m/44'/0'/clientid'/0' -but that may be less likely)
How do you know the addresses generated have actually been funded though? I think you need a script thst goes through and checks from an api (such as a block explorer) as to whether an address you control has been funded or not.
The problem is that m/44/2 is litecoin
The third level will go to different altcoins. I don't know how to handle that (an altcoin path) in a bitcoin wallet.
Just take a look at iancoleman and you will see.
is iancoleman safe ?
Does iancoleman have offline copy ?
Yes
You can download it and run offline. It is safe.