I don't get how you're making a connection to the OP's private keys. OP pasted a doge address. The wallet replaced it with something else that looks like either a stupid bug or a scam. You seem to be saying that the wallet failed to implement basic address validation but implemented some obscure logic to pick a BTC address from the same wallet... I find that extremely unlikely. And even if they did that then they wouldn't have a problem to tell the OP how to derive the address and recover the funds.
If the DOGE Address is in the same wallet, the conversion shouldn't have been done randomly.
Take a look at
https://iancoleman.io/bip39/If you insert a seed (like word 12x) you can see all bitcoin addresses from that seed. For each address, a private key.
But you can also change coin to DOGECOIN and see addresses and private keys for each address.
This is what the wallet shouyld have done. Converted the encoding of the dogecoin address to a bitcoin one, using that same logic from iancoleman.io. This way anyone with the private key could recover it.