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Is it possible to transfer smart-contract (dApp) ownership?

When an account deploys a smart contract, the approval/clearstate, and any global state data is stored against the creator's account. Similar to how assets/NFTs are stored on their creator account. The ownership cannot be transferred, and the minimum balance requirement will always be on the creator.

Does testnet/mainnet supports TEAL 7?

Not currently. But if you check the forum and GitHub you’ll see when betanet is being updated by an algod client update, then after a week or two it’ll probably be testnet, followed by mainnet.