Madi was tied for 4th on Vault with a 9.925... behind...
Jade Carey 9.975 OSU
Shallon Olsen 9.950 Alabama
Alexia Burch 9.950 Utah

Seattle Regional - Round 2 Combined Results

If Alabama & Utah qualify as teams, and as Jade is already qualified to Nationals as the AAder from Seattle, the Vault spot at Nationals would go to a gymnast tied for 4th...

Those gymnasts are (all from teams not advancing to Nationals)...
Madi Dagen OSU
Mia Townes Illinois
Amara Cunningham UW

The 1st tie-break is to add all 4 judges' scores...
... and the winner IS...
Mia Townes
9.900+9.950+10.000+9.900 = 39.750
...
beating ...
Cunningham
9.900+9.900+9.950+9.950 = 39.700
and
Madi
9.900+9.850+9.950+9.950 = 39.650 :-(

If either Alabama or Utah don't advance, their gymnast will advance on Vault...

If neither advance ...
1st tie-breaker: they are still tied 3x9.95s & 1x9.90 ...
2nd tie-breaker is the Head Judge's score decides ...
(I think that is Judge #1) ...
So Olsen of Alabama advances with a 9.950 from Judge #1 vs 9.900 for Birch of Utah