Duplicate reactions added when library included in libraries and seed

Bug Description

I'm getting some duplicate reactions when I run an input file that has BurkeH2O2inArHe listed as both a seed and a library.

O(5)+H2(13)<=>H(14)+OH(15) is supposed to appear twice but appears 4x. I think there may be two other MultiArrhenius reactions in this example that also get incorrectly duplicated.

! Reaction index: Chemkin #2; RMG #2
! Library reaction: BurkeH2O2inArHe
O(5)+H2(13)<=>H(14)+OH(15)                          3.818000e+12 0.000     7.948
DUPLICATE
! Reaction index: Chemkin #3; RMG #2
! Library reaction: BurkeH2O2inArHe
O(5)+H2(13)<=>H(14)+OH(15)                          8.792000e+14 0.000     19.170
DUPLICATE

...

! Reaction index: Chemkin #42; RMG #39
! Library reaction: BurkeH2O2inArHe
O(5)+H2(13)<=>H(14)+OH(15)                          3.818000e+12 0.000     7.948
DUPLICATE
! Reaction index: Chemkin #43; RMG #39
! Library reaction: BurkeH2O2inArHe
O(5)+H2(13)<=>H(14)+OH(15)                          8.792000e+14 0.000     19.170
DUPLICATE

chem_annotated.inp.txt
species_dictionary.txt

How To Reproduce

Here's the input file that causes the duplicates: input.py.txt

Try python ~/rmg/RMG-Py/rmg.py input.py -t=00:00:02:00 to run for 2 minutes and produce a relatively small example mechanism

Then to fix the error you can remove BurkeH2O2inArHe from the libraries but keep it in the seed.

Expected Behavior

I would expect RMG to catch any duplicates before adding them, or at least produce an error if you're not supposed to include something as both a library and a seed. Or maybe have louder documentation about not doing this.

Installation Information

Describe your installation method and system information.

• OS: Ubuntu 24.04.4 LTS
• Installation method: source
• RMG version information:
  • RMG-Py: 99019681568b26514ca4ae3b2de4d2e6fcfcfbc8
  • RMG-database: a956fac64a696b84b1183c617e07fc3c1b5ff6a6

Start with input.py.txt and run rmg.py using the provided command to reproduce the duplicated BurkeH2O2inArHe reactions. Trace how seed and library reactions are added, then add coverage showing that duplicates are prevented or that an invalid seed/library overlap produces a clear error.