Can the senate change the rules at this point regarding impeachment ?

[Igel]

13. Their call.

But I suspect if they used the same text they'd say, "How is this different and why should we play the same song twice and expect a different final chord?" It's their rules. Pelosi may have a lot to say about them, but anything she says is extra-Constitutional.

If it matters that the impeachment wasn't properly recorded for the next act, then it never officially happened. Like a grand jury indictment that's never filed.

If the impeachment stands, filed or not, then it can be acted on. And to act on the same charges twice ... double jeopardy.