(1Y)-1NT

I suggest playing Gladiator at (1M)-1NT, which is more effective against a major suit opening, especially 1. Aggressor can have 5 hearts at (1)-1NT because 2 would be an underbid. We get an additional cuebid to invite with 3 hearts, roughly equivalent to Puppet Stayman. There is also an indirect 3NT for choice of games with 3 hearts.

This version of Gladiator originates from a BTU gadget.

(1)-1NT

(1)-1NT-STR ~BAL
2!(R), Gladiator
2INV, 5+#
2!STAY, INV+, 4=
2-3!Choice of games, e.g. MAX 3433
2NT!NF INV, 5+
3XFG, 5+#
3!SPL, 0–1, 4=
4!Leaping Michaels, 5+, usually 5+#
4S/O, 6+
4!Leaping Michaels, 5+, 5+
(1)-1NT-2-Gladiator
2!P/C
2!P/C, 5+
2!MAX, 4=, 4+
(1)-1NT-2; 2-P/C
PS/O, 5+
2S/O, 5+
2!INV, 3=
2NTBAL INV
3S/O, 6+
3INV, 6+#
3!SPL, 0–1, 0–3
3NT!Choice of games, 3=

Slow 3NT still has 3= if RHO bids up to 2NT.

(1)-1NT-(2)--
2NT!TRF LEB
3!TRF INV+, 5+
3!TRF INV+, 5+
3!FG STAY, 4=
3!SPL, 0–1, 4=
(1)-1NT-(2)-2NT-TRF LEB
3!P/C
3-3!SPL, 0–1, 0–3
3-3NT!Choice of games, 3=
3!P/C, 5+
3!P/C, MAX, 4+, 4+
(1)-1NT-(2NT); (3)-P--
XPEN, 3=
3NT!Choice of games, 3=

I have not yet come up with how we utilize the slow cuebid.

(1)-1NT

(1)-1NT-STR ~BAL
2!(R), Gladiator
2INV, 5+#
2!STAY, INV+, 4=
2-3!Choice of games, e.g. MAX 4333
2NT!NF INV, 5+
3XFG, 5+#
3!SPL, 0–1, 4=
4!Leaping Michaels, 5+, usually 5+#
4!Leaping Michaels, 5+, 5+
4S/O, 6+
(1)-1NT-2-Gladiator
2!P/C
2!P/C, 5+
2!P/C, MAX, 4=, 4+
(1)-1NT-2; 2-P/C
PS/O, 5+
2!S/O, 5+
2NTBAL INV
3S/O, 6+
3INV, 6+#
3!SPL, 0–1, 0–3

(1)-1NT

Otherwise, I suggest ignoring the minor suit opening. Take the 1NT overcall as a strong notrump opening.