I will start the analysis with the simplest case and then work upward. Supposing 75 kg on a normal doorway leverage-based pull-up bar and doing just purely-vertical pull-ups and curl-ups, this is within the design specifications for such pull-up bars. An example: https://www.garagegymreviews.com/equipment/iron-gym-total-upper-body-workout-bar

However, because this type relies on your downward bodyweight to press the bar into the doorframe, no swinging motion of any kind is allowed: all movements must be purely vertical.

There is another type of doorway pull-up bar that is akin to a tension rod, but I simply cannot ever recommend these in any scenario, because they have all the limits of the leverage-based one, in addition to also applying a weird expanding force that no doorway is ever designed for.

If the leverage-based pull-up bar was screwed in above the doorway, this would make it more securely attached, but not to the degree that you could swing full bodyweight around. And if you were already going to drill holes, you'd want something that definitely attached to the studs, so that it would genuinely allow you to swing full bodyweight away from the wall. Example: https://repfitness.com/products/wall-mount-multi-grip-pull-up-bar?variant=41067582914718

But maybe you actually want to swing in bitj directions from the bar, or may even over. In that case, you'd have to be farther from a wall or door and would looking at something that is mounted to the ceiling studs (properly called joists). Example: https://ultimatebodypress.com/products/ceiling-mounted-pull-up-bar-with-patented-reversible-risers-for-16-and-24-inch-joists

Ok, but wait, basically all of these remaining viable options involve holes in the wall, so none might be workable. Can we use a standalone/freestanding like this? https://thesportsroyals.com/

The issue here is that such a tower has no problem with vertical curls and pulls. But because the legs are fairly narrow, there's only a limited range of swinging forwards/backwards before the tower itself tips over, taking you with it to the floor.

Supposing your requirements are rigid, the only other solution I can envision is some sort of triangular frame like a children's swing set, where the center is a bar, where the triangles are as deep as they are tall. If the base cannot be that wide, then it would have to be weighted at its corners.

As a design, this is extreme difficult to find pre-made. But a variant would be to look at 4-post power racks, which can satisfy the depth and height requirements. For example, the REP PR-5000 can be configured as a 6-post rack, with the middle posts set using 30" depth to the front posts and 30" depth to the rear posts. In your case, would not mount the pull-up bars on the cross members as normal, but would put them on the middle post, at whatever height you want.

I don't have exact numbers right now, but such a six post setup would already weigh something like 140 kg in steel, minimum. And bring over 2 meter deep and 1.2 m wide, the geometry is highly resistant to toppling, even if you swung 200 kg inward and outward. If it needs any more stability, a power rack easily accommodates adding weight plates at each post, to really make sure it doesn't move.

But at this point, such movements would require 4 meter ceilings to do safely. And I think I may be entertaining the engineering here too much. What I will say is that if you're doing gymnastics, then you have to use gymnastics gear, not resistance training gear. Swinging is not a general design goal for resistance training gear. This is the same reason why an exercise pole (aka stripper pole) is not going to be comparable to steel conduit for electric wiring.

If there is even a spectre of a doubt that your gear isn't well-suited to your specific goals, then some reevaluate should be done. You may want to look at what a commercial gym has, if the same would work for you; gyms sometimes don't have studs or joists to use, so their equipment is selected accordingly.