Combining road climbing plan with a triathlon plan

I have two A races among minor ones: a very challenging climbing road race at the beginning of July and a more reachable Olympic Triathlon 9 weeks later. I would like to focus on the climbing race until July, but still have a low plan to swim twice a week and run once or twice.

No matter what I try to do, TR ignores my Triathlon race until after the climbing race. Is there a way to combine the “road climbing plan” with a low-volume swim and run (tri) plan?

Thank you.