CoinJoin Change Address - Where Does It Go?

I CoinJoined my BTC in Trezor Suite.
SCENARIO:
I send 1 BTC from my CJ address to my CEX account which has my KYC identity.
The COIN address Trezor picks to send from contains 1.5 BTC
Where does the .5 BTC change go to (assume no fee) - what address?
Will it contaminate the rest of my CoinJoin stack because that UTXO could possibly be traced back to the CEX with my name attached to that address/wallet?

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More detail…
So let’s say I CoinJoined my BTC in Trezor Suite.
SCENARIO:
I send 1 BTC from my CJ address to my CEX account which has my KYC identity.
The COIN address Trezor picks to send from contains 1.5 BTC (NOTE: I found out in Trz Suite that I can also manually specify which address to send from or multiples)
Where does the .5 BTC change go to (assume no fee) - I see Trezor do indeed automatically create a NEWLY-CREATED change address every time you send - great.
Will it in any way contaminate the rest of my CoinJoin stack because that UTXO could possibly be traced back to the CEX with my name attached to that address/wallet? I don’t think so right? Because there is no XPUB for my CoinJoin account/addresses. But the change address might have the xaction history in it right - saying it came from the CEX? So maybe I could send that .5 BTC of change and CoinJoin it again?