So long as you've got good airflow, the plants should be ok at that level. But yes, definitely a big dehumidifier in the room the tent is in will help.
I live on a lake at the bottom of a mountain range, and before two days ago, it rained heavy for a full week. That means a heck of a lot of humidity for me in my basement:
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Normally, the basement humidity (bottom right of image) is around 60%. However, for the next week or so it'll be up near 80% even with a dehumidifier.
A good lollipopping, and the removal of many of the under-canopy leaves provide for good airflow. Thankfully, none of my plants are beyond four weeks of flower, so I don't have to worry about bud rot or mold at least.
Typically, I like 78F for my tents, and 60% humidity veg, 45-50% for flower. Mostly works out to 60% in veg, and 50-60% in flower.