I don't think it's a conflict of interest, per se. For both companies, you are working on behalf of the same client, the bank itself, so where would the conflict be? But you need to be sure you don't shop the same branch twice, period, within 60 days for either of them. I recently did my local branch for the original company with a big bonus. The second company has it on the board now, but I can't do it for them until at least 60 days has passed. (And by then the first company may be bonusing it again, so why would I want to do it for the second company anyway?)
Time to build a bigger bridge.