I sent ETH to wrong network, am I screwed?

I set up a swift wallet on Trust Wallet. I sent ethereum from my exchange to the swift wallet but accidentally sent to the arbitrum network instead of the ethereum network. I can see that both wallet addresses for Arbitrum and Ethereum network are the exact same but I’m not sure if this means I can bridge across given that this is a swift wallet. Because this is a Swift Wallet are my funds now lost forever? I checked and both Ethereum and Arbitrum wallet addresses are identical. My exchange only asked me to provide a wallet address and network when I made the transaction. Does this mean the funds are just going to land in my ethereum wallet instead of my arbitrum wallet?