How to request a new wallet address on Blockchain.

Hello! Apologies as I'm not sure where to ask this question. I use the Blockchain app as my intermediary wallet.

Is there a way of just requesting a new Bitcoin wallet address in Blockchain?

---unnecessary backstory--- I'm attempting to pull money off a website but it will only accept a Bitcoin wallet address one time. Like ONLY once no matter what. My previous transaction failed and thus used up that address as far as the website was concerned, however Blockchain didn't register the transaction so it's still set on the old wallet address. I can't for the life of me figure out how to request a new wallet address, short of having to make a deposit to that wallet to force it to change (which i want to avoid to save on the fees). This has happened before and will happen again I'm sure so that kind of adds up.