...that's high on your priority list.
Estimate how long you’d normally put aside of an obligation of this type then give yourself a hard deadline that drastically reduces this time. If possible, commit publicly to the deadline - for example by telling the person expecting the finished project when they should expect it. If this isn’t possible, then motivate yourself by setting a countdown timer on your phone and propping it up where you can’t avoid seeing it as you work.
There should be only one possible way to get the deep task done in time: working with great intensity. No e-mail breaks, no repeated trips to the coffee machine. Attack the task with every neutron until if give way under you unraveling barrage of concentration.
Take a period in which you are occupied physically but not mentally and focus your attention on a single well-defined professional problem. As in mindfulness meditation, you must continue to bring your attention back to the problem at hand when it wanders or stalls. Participate in at least two or three such sessions in a typical week.
By forcing yourself to resist distraction and bring your attention back to a well-defined problem it helps strengthen your distraction-resisting muscles and forcing you to push deeper on a single problem, it sharpens your concentration. For this, patience will be necessary.
A side effect of memory training is an improvement in your general ability to concentrate and it can be applied to any deep work task.
There's nothing special about card memorization, any structured thought process that requires unwavering attention can have a similar effect like productive meditation.