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You did it correctly, and the AVAX is not lost. You can indeed send AVAX (or any token on any EVM based chain) to your ETH address.
However, only tokens on Ethereum will show up in the Trezor Suite. Assuming you used the Avalanche network for your transfer this is the network you will have to use to interact with your AVAX.
You can check that your AVAX ended up in the right place by searching up your ETH address on a block explorer like for example SnowTrace (https://snowtrace.io/) or if you want to see a lot of chains and protocols in one place you can use something like DeBank (https://debank.com/).
If you want to actually access your AVAX instead of just watching (to send it from your Trezor for example), you will need to connect your Trezor to a third party wallet that supports the Avalanche chain. The most popular wallet to do this is MetaMask (https://metamask.io/), but personally I love Rabby (https://rabby.io/).
Remember to use the “Connect Hardware Wallet” option, don’t recover the wallet using your seed or anything like that obviously. That way you keep the full security of your Trezor while also getting the functionality of the third party wallet, all transactions would still have to be signed on the Trezor as the third part wallet would have no access to your keys.