Thanks for bringing this up here, @bbray-vantagehea. There's an exact reason why you can't connect your bank to your New Co. QBO account. I'll gladly share this with you and provide workarounds to achieve your goal.
Connecting your bank to multiple QBO accounts will based on their bank linking policy. Their rules don't allow multiple connections due to security measures to prevent transaction conflicts and unauthorized connections. This is the reason why you're unable to bridge another connection to your new QBO account.
You can, however, connect it by opening another account type within your bank, for example, a Savings account. After that, connect it to your new QBO. This approach will maintain separate financial records by ensuring that transactions are placed to the correct account types.
For additional guidance in connecting your bank, you can visit this article: Connect bank and credit card accounts to QuickBooks Online.
Once done, you can review the categories assigned to the automatically downloaded transactions. This feature helps streamline your bookkeeping process so your transactions are organized.
If you are uncertain whether you're categorizing transactions correctly in QBO, feel free to contact QuickBooks Live Expert Assisted. They can help clear up things and offer best practices to ensure that your financial records are accurate.
Feel free to return here if you have additional questions about managing your bank connection across your QBO accounts, leave a comment below. We'll assist you as soon as possible. Keep safe, and have a good one.