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JLST 2nd 100% T/I

See any J/L

+J/+L QB. They are the same setup, thanks to symmetry.
__________ L_____J___ LTTTSSJ___ LLTSSJJ___

As a +J QB, you will need these two solves, and this QB will fail on ;[ILO]p2J queues.
SSTTTZZLOO XSSTZZXLOO XXXXXXXJJJ XXXXXXXLLJ
L<O
SSTTTZZLLL XSSTZZXLOO XXXXXXXJOO XXXXXXXJJJ
O<L

As a +L QB, you will need these two solves, and this QB will fail on ;[IJO]p2L queues.
SSTTTZZOOJ XSSTZZXOOJ XXXXXXXLLL XXXXXXXLJJ
J<O
SSTTTZZJJJ XSSTZZXOOJ XXXXXXXOOL XXXXXXXLLL
O<J

Taken together, the +J/+L QB fails on ;[IO]!J and ;[IO]!L queues, for which you have these two QBs.
For ;[IO]!J and ;[IO]!L queues, we can simply take the +J/+L QB, and change its build order so that it functions as a +JO/+LO QB.
__________ L_________ LTTTSS_J__ LLTSS__JJJ
__________ X_____J_OO XXXXXXJXOO XXXXXJJXXX
ZZTTTSSLLL XZZTSSXLXX
__________ _________J __L_TTTSSJ LLL__TSSJJ
__________ OO_L_____X OOXLXXXXXX XXXLLXXXXX
JJJZZTTTSS XXJXZZTSSX

See any S/Z; no J/L

+IS QB.
__________ L_____T___ L___JTTTSS LL__JJJSS_
___I______ XS_I__X___ XSSIXXXXXX XXSIXXXXX_
JJJXOOZZLL XXJXOOXZZL XXXXXXXXXL

+OS QB.
__________ ________SS J_TTT__SSL JJJT___LLL
S_________ SS______XX XSXXXOOXXX XXXX_OOXXX
XZZLLJIIII XXZZLJJJXX XXXXLXXXXX

If you see any S but cannot build the +IS or +OS QBs, you must see [STZ]!, in which case you can build the +TZ QB.
+IZ QB.
__________ _T_______J TTTL___SSJ _LLL__SSJJ
____I_____ _X__I_Z__X XXXXIZZXXX _XXXIZXXXX
JJOOXLLLSS JXOOXLXSSX JXXXXXXXXX

+TZ QB.
JJ________ J_________ JSST_____L SSTTT__LLL
XX________ X__ZZ__T__ XXXXZZTTTX XXXXX__XXX
XXSSLLJJOO XSSXXLJXOO XXXXXLJXXX

If you see any Z but cannot build the +IZ or +TZ QBs, you must see [OSZ]!, in which case you can build the +OS QB.

;[IOT]! queues

If you see no JLSZ, you must see [IOT]!. In this case, you will need two setups. Credit to algebruh for both of these, because mkjl and I both managed to miss these.

&acc I

__________ ________S_ LLL____TSS L_____TTTS
LLLSSZZjjj LJSSOOZZXj XXXIIIIXXX XJJJOOXXXX
J/L/S last
OOZZLLLJJJ OOSSLTTTXJ XXXjjjTXXX XSSZZjXXXX
Z last

&acc T

__________ __________ J___T____L JJJTTT_LLL
OOZZJJJLLL OOTZZSJLss XTTTXSSssX XXXXXXSXXX
S<J
OOZZJJJLLL OOTZZsJLSS XTTTXssSSX XXXXXXsXXX
S<L
LLLJJssSSZ LOOJssSSZZ XOOJXTTTZX XXXXXXTXXX
Z<S
sLLJJSZZOO ssLJIIIIOO XsLJXSSZZX XXXXXXSXXX
J<S; L<S; S<Z