never played tiny house
What is the shortest possible mate in Tinyhouse?
Here’s a possible M6:
1. Wg6-g7 .. Wh9-h8
2. Wg7-g8 .. Ff9xWg8
3. f7xFg8 .. Wh8xg8
4. Uh6xWg8+ .. Ki9-h9
5. Kf6-g7 .. @yP-f9
6. @rW-i9+#
…
I just found a possible M4:
1. Wg6-g7 .. Ff9-g8
2. Wg7xFg8 .. i8-i7
3. Wg8-h8 .. Ug9xf7
4. Wh8-i8+#
Here’s a possible M6:
1. Wg6-g7 .. Wh9-h8
2. Wg7-g8 .. Ff9xWg8
3. f7xFg8 .. Wh8xg8
4. Uh6xWg8+ .. Ki9-h9
5. Kf6-g7 .. @yP-f9
6. @rW-i9+#
…
I just found a possible M4:
1. Wg6-g7 .. Ff9-g8
2. Wg7xFg8 .. i8-i7
3. Wg8-h8 .. Ug9xf7
4. Wh8-i8+#
Second line is most fastest line possible for a mating setup using the wazir afaik
Second fastest:
1. Fh7 ixFh7
2. f8 hxWg6=W+
3. Kxg6 @Fh7+
4. Kg7 @Wg6+#
2nd=
1. Wg6-g7 .. Ff9-g8
2. Uh6xFg8+ .. Ki9-h8
3. @rF-i7+#
4th
1. Fi6-h7 .. i8xFh7
2. f7-f8 .. @yF-f7
3. Kf6-g7 .. h7xWg6=W+#
what about fastest forced mate
If it was easy to see a forced mate then the variant probably wouldn't have been accepted.
what about fastest forced mate
If there were FWFR it would be mate in ♋ or something like that

Very hard puzzle!
https://www.chess.com/variants/tinyhouse