What about bringing the cot back into your room? At least then you can lie on your own comfortable bed while she facts, rather than on the floor.
Also, I would have zero tolerance on standing, crawling or anything like that in the cot. Establishing the expectation that in the cot you lie down is a useful way to teach toddlers to switch off and relax.
So this will involve lots of protest crying, maybe even some frustrated screaming.
Leaning right into the cot, place your hands quite firmly on her chest/back/side (whichever way she's lying) to physically keep her still. I mean kindly of course, not in a rough way. But in an assertive, firm, "you will lie down!" way.
Some patting, shushing, tickling or whatever may help if she's screaming. But mostly you are just reitterating that in order to sleep she MUST lie down and when she is in her cot, she should be sleeping. So being in the cot should always mean lying down, all of the time.
Then you'll need to stay there until she's stilled. I would then luft my hands but stay in the leaning-into-cot position with my body. Any attempt to get up, hands straight back. Once settled, hand off. If she remains still and calm, maybe straighten up and stop leaning into the cot, but immediately back if she tries to get up in any way.
If at any point she does get up, straight away lie her back down, lean into cot, firm hands to keep her still.