Nuke your tape to make it easier to work with.
Old tape, particularly masking or duct tape, would often rather fall apart rather than unroll. I’ve found that placing it in a microwave for just long enough to warm it up a bit revives even the oldest tape, keeping it out of the landfill and helping me maintain some sanity. Any tape with a little moisture in it should respond in a microwave. Of course a heat gun or lamp works also but it requires more time and oversight.