That would be antithetical to democracy. The people must be allowed to introduce any legislation they want, as often as they want.
Otherwise it would be trivial for a government to intentionally fail to pass anything they disagree with, and thus act as a de facto dictatorship.
Not to mention how would one even define "the same legislation"?
When have "the people" been last consulted on this? Do you really think Chat Control has high public support? Given how most "democracies" work in our world today (which is to say with no consultation of the people), i think limiting their ability to do further harm might be worth it.
The current institution where the parliament is not able to choose which laws it votes is already not democratic. Such limitation would at least avoid the blatant gaming of the system.