I believe Bush jumped from his plane. I doubt it was ever recovered.
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The note said that there were at least three that he flew.
Pilots fly numerous tail numbers in their career. There are probably a few aircraft out there he logged time in besides the one he was shot down in. Happens for all kinds of reasons. Maintenance, transferring between squadrons, squadron equipment changes, etc.
So it’s probably true that some museum somewhere has a tail number he logged time in at some point.