You must first of all take it that bitcoin transactions are irreversible.
Now, your funds were moved to a stake address, i don't know why the thief will do that, was he trying to use your stolen funds to gamble in a crypto casino, well it is not as easy as contacting stake to help you recover your funds, you will need a police warrant and a governement authorization to be sent to stake to provide more information about the owner of the account that received your stolen funds (that is if they have kyc procedure) so they can investigate the case, link the culprits and then request stake to give you your money back.
If you had lost ~$30,000 and above, then what i said 'may' be possible, but for $450 it is impossible, and don't expect stake to just send you "your" money back without the due process.
It was to my stake , as I said small city I know the thief personally ,he knows I use to bet/ have crypto. He actually tried to do coinmixing by trying to withdraw without betting, the transaction was canceled