Shortest gap between any two launches - does NOT need to be same ship or booster.
Short gaps in 2025 included
January 16th to March 6th flights 7 and 8 with 49 day gap
August 27th to October 14th flights 10 and 11 with 48 day gap
If version 3 works well, manufacturing might speed up considerably and there might be reuse and even refuelling attempts but it isn't clear how fast pad 2 can be turned around if the ships and boosters are available.
If it doesn't work well like version 2, then long delays are possible.
Counter intuitively i think the shorter dates will become more likely soon because there are more opportunities for them to occur left in the year. For reference there are only 69 days left in the year. If starship flight 15 does not hit the 50-59 day than there is no remaining chance.
The only way it could have another chance for this to happen this year is if it launches sooner in which case it would have had to have launched in less that 50 days.