I'm not caught up yet (still at ch. 113) but I just realized something.
(personal hypothesis / potential spoiler below)
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When Ailette buys the floppy disk, it says 14/30 saves remaining. Which means 16 saves were used. Which means it would currently be the 17th save of the original user.... So maybe he's indeed in his 17th "loop", if you count from the floppy disk.

OMG!!! Just when the gods were suspecting that the 17th loop Teslid might be a bug and i learned that Reed is Loop 100 Teslid i just had this feeling that our Teslid just might be from beyond that! And lo and behold he is! He is the 101st Loop Teslid! Its all so similar to ORV i mean the 1864th YJH and secretive plotter!
Ok but all that aside why was he remembering Ailette in his later loops.Isn’t Ailette an outlier i mean a transmigrator? So Did Reed’s timeline Ailette fail and then Tez continued on to become Reed and then invaded another’s timeline 17th loop? But that leaves the question on how 101st Tez is now in place of 17th Tez