To be honest I have been using the same login details for a few bitcoin sportbooks for a lot of time and it happened only on stake.com.
So there is no change to get TRX refund? Even this low amount of TRX?
That is your first mistake. Never used the same login in every site, not just gambling but all of the website you want to register because you don't know if your account will be safe or not. You can use the same login, but not use the same password for every account, try to make it different so at least, you can protect your account.
I don't think stake.com will refund your TRX since that mistake come from yours. You should not make the same thing in the future.