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(1y) 2y

The cuebid is Michaels. Over a natural minor suit opening it shows both majors. Over a major suit opening it shows the other major and a minor.

Over minor suits

Subsequent bidding is mostly natural since there are already three suits on the table.

(1♣) 2♣ -
2♦NF, usually 6+♦
2♥♠NAT, 1+#
2NTNAT INV
3♣!INV+, usually 3+♠♥
3♦FG, usually 6+♦
3♥♠PRE, 3+#
(1♦) 2♦ -
2♥♠NAT, 1+#
2NTNAT INV
3♣NF, usually 6+♣
3♦!INV+, usually 3+♠♥
3♥♠PRE, 3+#

Over major suits

(1♥) 2♥ -
2♠NAT, 1+♠
2NT!INV+, ask for the minor suit
3♣♦!P/C
3♥INV+, 3+♠
3♠PRE, 3+♠

Obviously, (1♠) 2♠ - 3♠ is game-forcing because it bypasses both our suits. Meckstroth advances move the forcing raise to 3♦ and reenables invitation.

(1♠) 2♠ -
2♥!P/C
2NT!INV+, ask for the minor suit
3♣!P/C
3♦!INV+, 3+♥
3♥NAT, 2+♥

Cuebidder is not supposed to have a stopper. To a new suit advance, I suggest cuebidder swap notrump and cuebid. A notrump rebid shows support while a cuebid denies it.