Is there a mobility or flexibility component to the programs?
Yes, and it is built in rather than optional. Every session includes a warm-up that doubles as mobility work, targeting the joints and ranges of motion you will use in that session. This is not a few arm circles. It is structured movement preparation that improves flexibility over time when done consistently.
Beyond the warm-up, many of the exercises in the programs build active flexibility as a byproduct. Movements like pike push-ups, deep ring rows, and skin the cat work your end ranges under load, which is one of the most effective ways to build usable mobility.
There is also a dedicated mobility program available in the Classroom. It is designed to complement the strength programs and can be run alongside whichever program you are currently on. If improving flexibility or body control is a specific goal for you, running the mobility program in parallel is worth doing.
A common question is whether you need to add extra stretching on top of the program. For most people, the built-in work is enough to support training. If you have specific flexibility limitations that are affecting your form, mention it in the community and we can point you toward targeted work.